%-----------------------------
% A
%-----------------------------

@inproceedings{cavanna15geometric,
  author    = {Nicholas J. Cavanna and Mahmoodreza Jahanseir and Donald R. Sheehy},
  booktitle = {Proceedings of the Canadian Conference on Computational Geometry},
  title     = {A Geometric Perspective on Sparse Filtrations},
  url       = {https://arxiv.org/abs/1506.03797},
  year      = {2015}
}

@article{DBLP:journals/corr/BoissonnatS16,
  author        = {Jean{-}Daniel Boissonnat and
                   {Karthik {C. S.}}},
  title         = {An Efficient Representation for Filtrations of Simplicial Complexes},
  journal       = {CoRR},
  volume        = {abs/1607.08449},
  year          = {2016},
  url           = {https://arxiv.org/abs/1607.08449},
  archiveprefix = {arXiv},
  eprint        = {1607.08449},
  timestamp     = {Mon, 13 Aug 2018 16:46:26 +0200},
  biburl        = {https://dblp.org/rec/bib/journals/corr/BoissonnatS16},
  bibsource     = {dblp computer science bibliography, https://dblp.org}
}

@article{bubenik_dlotko_landscapes_2016,
  author  = {P. Bubenik and P. Dlotko},
  title   = {A persistence landscapes toolbox for topological statistics.},
  journal = {Journal of Symbolic Computation.},
  year    = {2016},
  url     = {https://doi.org/10.1016/j.jsc.2016.03.009}
}

@article{Reininghaus_Huber_ALL_PSSK,
  author  = {J. Reininghaus and S. Huber and U. Bauer and R. Kwitt},
  title   = {A Stable Multi-Scale Kernel for Topological Machine Learning.},
  journal = {Proc. 2015 IEEE Conf. Comp. Vision \& Pat. Rec. (CVPR '15)},
  year    = {2015},
  url     = {https://doi.org/10.1109/CVPR.2015.7299106}
}

@misc{royer2019atol,
  title         = {ATOL: Measure Vectorisation for Automatic Topologically-Oriented Learning},
  author        = {Martin Royer and Frédéric Chazal and Clément Levrard and Yuichi Ike and Yuhei Umeda},
  year          = {2019},
  eprint        = {1909.13472},
  archiveprefix = {arXiv},
  primaryclass  = {cs.CG}
}

@article{dtmdensity,
  author    = {Biau, Gérard and Chazal, Frédéric and Cohen-Steiner, David and Devroye, Luc and Rodríguez, Carlos},
  doi       = {10.1214/11-EJS606},
  fjournal  = {Electronic Journal of Statistics},
  journal   = {Electron. J. Statist.},
  pages     = {204--237},
  publisher = {The Institute of Mathematical Statistics and the Bernoulli Society},
  title     = {A weighted k-nearest neighbor density estimate for geometric inference},
  url       = {https://doi.org/10.1214/11-EJS606},
  volume    = {5},
  year      = {2011}
}

%-----------------------------
% B
%-----------------------------

@inproceedings{boissonnat_et_al:LIPIcs:2015:5098,
  author    = {Jean-Daniel Boissonnat and Karthik C. S. and S{\'e}bastien Tavenas},
  title     = {{Building Efficient and Compact Data Structures for Simplicial Complexes}},
  booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)},
  pages     = {642--656},
  series    = {Leibniz International Proceedings in Informatics (LIPIcs)},
  isbn      = {978-3-939897-83-5},
  issn      = {1868-8969},
  year      = {2015},
  volume    = {34},
  editor    = {Lars Arge and J{\'a}nos Pach},
  publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address   = {Dagstuhl, Germany},
  url       = {https://drops.dagstuhl.de/opus/volltexte/2015/5098/},
  urn       = {urn:nbn:de:0030-drops-50981},
  doi       = {10.4230/LIPIcs.SOCG.2015.642},
  annote    = {Keywords: Simplicial complex, Compact data structures, Automaton, NP-hard}
}

%-----------------------------
% C
%-----------------------------

@book{kaczynski2004computational,
  title     = {Computational Homology},
  author    = {Kaczynski, T. and Mischaikow, K. and Mrozek, M.},
  isbn      = {9780387408538},
  lccn      = {03061109},
  series    = {Applied Mathematical Sciences},
  url       = {https://books.google.fr/books?id=AShKtpi3GecC},
  year      = {2004},
  publisher = {Springer New York}
}

@book{DBLP:books/daglib/0025666,
  author    = {Herbert Edelsbrunner and
               John Harer},
  title     = {Computational Topology - an Introduction},
  publisher = {American Mathematical Society},
  year      = {2010},
  isbn      = {978-0-8218-4925-5},
  pages     = {I-XII, 1-241},
  ee        = {http://www.ams.org/bookstore-getitem/item=MBK-69},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {http://www.ams.org/bookstore-getitem/item=MBK-69}
}

@article{DBLP:journals/dcg/ZomorodianC05,
  author    = {Afra Zomorodian and
               Gunnar E. Carlsson},
  title     = {Computing Persistent Homology},
  journal   = {Discrete {\&} Computational Geometry},
  volume    = {33},
  number    = {2},
  year      = {2005},
  pages     = {249-274},
  ee        = {http://www.springerlink.com/index/10.1007/s00454-004-1146-y},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1007/s00454-004-1146-y}
}

@techreport{boissonnat:hal-00922572,
  hal_id      = {hal-00922572},
  url         = {https://hal.inria.fr/hal-00922572},
  title       = {Computing Persistent Homology with Various Coefficient Fields in a Single Pass},
  author      = {Boissonnat, Jean-Daniel and Maria, Cl{\'e}ment},
  keywords    = {Computational Topology, Persistent homology, Modular reconstruction},
  language    = {Anglais},
  affiliation = {GEOMETRICA - INRIA Sophia Antipolis / INRIA Saclay - Ile de France},
  pages       = {19},
  type        = {Rapport de recherche},
  institution = {INRIA},
  number      = {RR-8436},
  year        = {2013},
  month       = Dec,
  pdf         = {https://hal.inria.fr/hal-00922572v5/document}
}

@inproceedings{DBLP:conf/compgeom/DeyFW14,
  author    = {Tamal K. Dey and
               Fengtao Fan and
               Yusu Wang},
  title     = {Computing Topological Persistence for Simplicial Maps},
  booktitle = {Symposium on Computational Geometry},
  year      = {2014},
  pages     = {345},
  doi       = {10.1145/2582112.2582165},
  ee        = {http://doi.acm.org/10.1145/2582112.2582165},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1145/2582112.2582165}
}

%-----------------------------
% D
%-----------------------------

@inproceedings{dtmfiltrations,
  author    = {Anai, Hirokazu
               and Chazal, Fr{\'e}d{\'e}ric
               and Glisse, Marc
               and Ike, Yuichi
               and Inakoshi, Hiroya
               and Tinarrage, Rapha{\"e}l
               and Umeda, Yuhei},
  editor    = {Baas, Nils A.
               and Carlsson, Gunnar E.
               and Quick, Gereon
               and Szymik, Markus
               and Thaule, Marius},
  title     = {DTM-Based Filtrations},
  booktitle = {Topological Data Analysis},
  year      = {2020},
  publisher = {Springer International Publishing},
  address   = {Cham},
  pages     = {33--66},
  isbn      = {978-3-030-43408-3},
  doi       = {10.1007/978-3-030-43408-3_2},
  url       = {https://doi.org/10.4230/LIPIcs.SoCG.2019.58}
}

%-----------------------------
% E
%-----------------------------

@article{buchet16efficient,
  title   = {Efficient and Robust Persistent Homology for Measures},
  author  = {Micka\"{e}l Buchet and Fr\'{e}d\'{e}ric Chazal and Steve Y. Oudot and Donald Sheehy},
  journal = {Computational Geometry: Theory and Applications},
  volume  = {58},
  pages   = {70--96},
  doi     = {10.1016/j.comgeo.2016.07.001},
  year    = {2016},
  url     = {https://doi.org/10.1016/j.comgeo.2016.07.001}
}

@inbook{peikert2012topological,
  year      = {2012},
  isbn      = {978-3-642-23174-2},
  booktitle = {Topological Methods in Data Analysis and Visualization II},
  series    = {Mathematics and Visualization},
  editor    = {Peikert, Ronald and Hauser, Helwig and Carr, Hamish and Fuchs, Raphael},
  doi       = {10.1007/978-3-642-23175-9_7},
  title     = {Efficient Computation of Persistent Homology for Cubical Data},
  url       = {http://dx.doi.org/10.1007/978-3-642-23175-9_7},
  publisher = {Springer Berlin Heidelberg},
  author    = {Wagner, Hubert and Chen, Chao and Vucini, Erald},
  pages     = {91-106},
  language  = {English}
}

@article{blockers2012,
  author    = {Dominique Attali and
               Andr{\'e} Lieutier and
               David Salinas},
  title     = {Efficient Data Structure for Representing and Simplifying
               Simplicial complexes in High Dimensions},
  journal   = {Int. J. Comput. Geometry Appl.},
  volume    = {22},
  number    = {4},
  year      = {2012},
  pages     = {279-304},
  ee        = {http://dx.doi.org/10.1142/S0218195912600060},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1142/S0218195912600060}
}

@inproceedings{socg_blockers_2011,
  author    = {Attali, Dominique and Lieutier, Andr{\'e} and Salinas, David},
  title     = {Efficient data structure for representing and simplifying simplicial complexes in high dimensions},
  booktitle = {Proceedings of the 27th annual ACM symposium on Computational geometry},
  series    = {SoCG '11},
  year      = {2011},
  location  = {Paris, France},
  pages     = {501--509},
  numpages  = {9},
  keywords  = {clique complexes, data structure, edge contraction, flag complexes, high dimensions, homotopy equivalence, shape reconstruction, shape simplification, simplicial complexes, vietoris-rips complexes},
  url       = {https://doi.org/10.1145/1998196.1998277}
}

@book{Munkres-elementsalgtop1984,
  author    = {James R. Munkres},
  title     = {Elements of algebraic topology},
  publisher = {Addison-Wesley},
  year      = {1984},
  isbn      = {978-0-201-04586-4},
  pages     = {I-IX, 1-454},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{Cohen-Steiner2009,
  author    = {Cohen-Steiner, David and Edelsbrunner, Herbert and Harer, John},
  journal   = {Foundations of Computational Mathematics},
  number    = {1},
  pages     = {79--103},
  publisher = {Springer-Verlag},
  doi       = {10.1007/s10208-008-9027-z},
  title     = {{Extending persistence using Poincar{\'{e}} and Lefschetz duality}},
  volume    = {9},
  year      = {2009},
  url       = {https://doi.org/10.1007/s10208-008-9027-z}
}

%-----------------------------
% F
%-----------------------------

@inproceedings{Lindstrom,
  author    = {Lindstrom, Peter and Turk, Greg},
  title     = {Fast and Memory Efficient Polygonal Simplification},
  booktitle = {Proceedings of the Conference on Visualization '98},
  series    = {VIS '98},
  year      = {1998},
  isbn      = {1-58113-106-2},
  location  = {Research Triangle Park, North Carolina, USA},
  pages     = {279--286},
  numpages  = {8},
  publisher = {IEEE Computer Society Press},
  address   = {Los Alamitos, CA, USA},
  url       = {https://doi.org/10.1109/VISUAL.1998.745314}
}

@misc{arxivpers1d,
  doi       = {10.48550/ARXIV.2301.04745},
  url       = {https://arxiv.org/abs/2301.04745},
  author    = {Glisse, Marc},
  keywords  = {Computational Geometry (cs.CG), Algebraic Topology (math.AT), FOS: Computer and information sciences, FOS: Computer and information sciences, FOS: Mathematics, FOS: Mathematics},
  title     = {Fast persistent homology computation for functions on $\mathbb{R}$},
  publisher = {arXiv},
  year      = {2023},
  copyright = {arXiv.org perpetual, non-exclusive license}
}

@article{turner2014frechet,
  title     = {Fr{\'e}chet means for distributions of persistence diagrams},
  author    = {Turner, Katharine and Mileyko, Yuriy and Mukherjee, Sayan and Harer, John},
  journal   = {Discrete \& Computational Geometry},
  doi       = {10.1007/s00454-014-9604-7},
  volume    = {52},
  number    = {1},
  pages     = {44--70},
  year      = {2014},
  publisher = {Springer},
  url       = {https://doi.org/10.1007/s00454-014-9604-7}
}

%-----------------------------
% G
%-----------------------------

@article{dtmgeoinference2011,
  author   = {Chazal, Fr{\'e}d{\'e}ric
              and Cohen-Steiner, David
              and M{\'e}rigot, Quentin},
  title    = {Geometric Inference for Probability Measures},
  journal  = {Foundations of Computational Mathematics},
  year     = {2011},
  volume   = {11},
  number   = {6},
  pages    = {733-751},
  issn     = {1615-3383},
  doi      = {10.1007/s10208-011-9098-0},
  url      = {https://doi.org/10.1007/s10208-011-9098-0}
}

@article{DBLP:journals/algorithmica/EfratIK01,
  author    = {Alon Efrat and
               Alon Itai and
               Matthew J. Katz},
  title     = {Geometry Helps in Bottleneck Matching and Related Problems},
  journal   = {Algorithmica},
  volume    = {31},
  number    = {1},
  year      = {2001},
  pages     = {1-28},
  ee        = {http://dx.doi.org/10.1007/s00453-001-0016-8},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1007/s00453-001-0016-8}
}

@article{Kerber:2017:GHC:3047249.3064175,
  author     = {Kerber, Michael and Morozov, Dmitriy and Nigmetov, Arnur},
  title      = {Geometry Helps to Compare Persistence Diagrams},
  journal    = {J. Exp. Algorithmics},
  issue_date = {2017},
  volume     = {22},
  month      = sep,
  year       = {2017},
  issn       = {1084-6654},
  pages      = {1.4:1--1.4:20},
  articleno  = {1.4},
  numpages   = {20},
  url        = {http://doi.acm.org/10.1145/3064175},
  doi        = {10.1145/3064175},
  acmid      = {3064175},
  publisher  = {ACM},
  address    = {New York, NY, USA},
  keywords   = {Assignment problems, bipartite matching, k-d tree, persistent homology}
}

@inproceedings{Dey13,
  author    = {Dey, Tamal and Fan, Fengtao and Wang, Yusu},
  title     = {Graph Induced Complex on Point Data},
  booktitle = {Proceedings of the Twenty-ninth Annual Symposium on Computational Geometry},
  year      = {2013},
  pages     = {107--116},
  doi       = {10.1145/2462356.2462387},
  url       = {https://doi.org/10.1016/j.comgeo.2015.04.003}
}

@inproceedings{chubet_et_al:LIPIcs.SoCG.2023.64,
  author    = {Chubet, Oliver A. and Macnichol, Paul and Parikh, Parth and Sheehy, Donald R. and Sheth, Siddharth S.},
  title     = {{Greedy Permutations and Finite Voronoi Diagrams}},
  booktitle = {39th International Symposium on Computational Geometry (SoCG 2023)},
  pages     = {64:1--64:5},
  series    = {Leibniz International Proceedings in Informatics (LIPIcs)},
  isbn      = {978-3-95977-273-0},
  issn      = {1868-8969},
  year      = {2023},
  volume    = {258},
  editor    = {Chambers, Erin W. and Gudmundsson, Joachim},
  publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address   = {Dagstuhl, Germany},
  url       = {https://drops.dagstuhl.de/opus/volltexte/2023/17914},
  urn       = {urn:nbn:de:0030-drops-179146},
  doi       = {10.4230/LIPIcs.SoCG.2023.64},
  annote    = {Keywords: greedy permutation, Voronoi diagrams}
}

%-----------------------------
% H
%-----------------------------



%-----------------------------
% I
%-----------------------------

@article{Fasy_Kim_Lecci_Maria_tda,
  author  = {B. Fasy and J. Kim and F. Lecci and C. Maria},
  title   = {Introduction to the R package TDA.},
  journal = {arXiv:1411.1830.},
  year    = {2016},
  url     = {http://arxiv.org/abs/1411.1830}
}

%-----------------------------
% J
%-----------------------------



%-----------------------------
% K
%-----------------------------



%-----------------------------
% L
%-----------------------------

@inproceedings{10.5555/3327546.3327645,
  author    = {Lacombe, Th\'{e}o and Cuturi, Marco and Oudot, Steve},
  title     = {Large Scale Computation of Means and Clusters for Persistence Diagrams Using Optimal Transport},
  year      = {2018},
  publisher = {Curran Associates Inc.},
  address   = {Red Hook, NY, USA},
  booktitle = {Proceedings of the 32nd International Conference on Neural Information Processing Systems},
  pages     = {9792–9802},
  numpages  = {11},
  location  = {Montr\'{e}al, Canada},
  series    = {NIPS’18},
  url       = {https://proceedings.neurips.cc/paper/2018/hash/b58f7d184743106a8a66028b7a28937c-Abstract.html}
}

@article{sheehy13linear,
  title   = {Linear-Size Approximations to the {V}ietoris-{R}ips Filtration},
  author  = {Donald R. Sheehy},
  journal = {Discrete \& Computational Geometry},
  volume  = {49},
  number  = {4},
  pages   = {778--796},
  doi     = {10.1007/s00454-013-9513-1},
  year    = {2013},
  url     = {https://doi.org/10.1007/s00454-013-9513-1}
}

%-----------------------------
% M
%-----------------------------

@article{tangentialcomplex2014,
  author   = {Boissonnat, Jean-Daniel and Ghosh, Arijit},
  title    = {Manifold Reconstruction Using Tangential Delaunay Complexes},
  journal  = {Discrete {\&} Computational Geometry},
  year     = {2014},
  volume   = {51},
  number   = {1},
  pages    = {221--267},
  issn     = {1432-0444},
  doi      = {10.1007/s00454-013-9557-2},
  url      = {http://dx.doi.org/10.1007/s00454-013-9557-2}
}

@phdthesis{KachanovichThesis,
  title       = {{Meshing submanifolds using Coxeter triangulations}},
  author      = {Kachanovich, Siargey},
  url         = {https://hal.inria.fr/tel-02419148},
  number      = {2019AZUR4072},
  school      = {{COMUE Universit{\'e} C{\^o}te d'Azur (2015 - 2019)}},
  year        = {2019},
  month       = Oct,
  keywords    = {Mesh generation ; Coxeter triangulations ; Simplex quality ; Triangulations of the Euclidean space ; Freudenthal-Kuhn triangulations ; G{\'e}n{\'e}ration de maillages ; Triangulations de Coxeter ; Qualit{\'e} des simplexes ; Triangulations de l'espace euclidien ; Triangulations de Freudenthal-Kuhn},
  type        = {Theses},
  pdf         = {https://hal.inria.fr/tel-02419148v2/file/2019AZUR4072.pdf},
  hal_id      = {tel-02419148},
  hal_version = {v2}
}

%-----------------------------
% N
%-----------------------------



%-----------------------------
% O
%-----------------------------



%-----------------------------
% P
%-----------------------------

@article{tomato2013,
  author     = {Chazal, Fr\'{e}d\'{e}ric and Guibas, Leonidas J. and Oudot, Steve Y. and Skraba, Primoz},
  title      = {Persistence-Based Clustering in Riemannian Manifolds},
  year       = {2013},
  issue_date = {November 2013},
  publisher  = {Association for Computing Machinery},
  address    = {New York, NY, USA},
  volume     = {60},
  number     = {6},
  issn       = {0004-5411},
  url        = {https://doi.org/10.1145/2535927},
  doi        = {10.1145/2535927},
  journal    = {J. ACM},
  month      = nov,
  articleno  = {Article 41},
  numpages   = {38},
  keywords   = {mode seeking, Unsupervised learning, computational topology, clustering, Morse theory, topological persistence}
}

@article{Persistence_Images_2017,
  author  = {H. Adams and S. Chepushtanova and T. Emerson and E. Hanson and M. Kirby and F. Motta and R. Neville and C. Peterson and P. Shipman and L. Ziegelmeier},
  title   = {Persistence Images: A Stable Vector Representation of Persistent Homology.},
  journal = {Journal of Machine Learning Research},
  year    = {2017},
  url     = {http://jmlr.org/papers/v18/16-337.html}
}

@article{Kusano_Fukumizu_Hiraoka_PWGK,
  author  = {G. Kusano and K. Fukumizu and Y. Hiraoka},
  title   = {Persistence weighted Gaussian kernel for topological data analysis.},
  journal = {ICML'16 Proceedings of the 33rd International Conference on International Conference on Machine Learning - Volume 48},
  year    = {2016},
  url     = {http://proceedings.mlr.press/v48/kusano16.html}
}

@article{DBLP:journals/dcg/SilvaMV11,
  author    = {Vin de Silva and
               Dmitriy Morozov and
               Mikael Vejdemo-Johansson},
  title     = {Persistent Cohomology and Circular Coordinates},
  journal   = {Discrete {\&} Computational Geometry},
  volume    = {45},
  number    = {4},
  year      = {2011},
  pages     = {737-759},
  ee        = {http://dx.doi.org/10.1007/s00454-011-9344-x},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1007/s00454-011-9344-x}
}

@article{Ferri_Frosini_comparision_sheme_2,
  author  = {M. Ferri and P. Frosini and A. Lovato and C. Zambelli},
  title   = {Point selection: A new comparison scheme for size functions (With an application to monogram recognition).},
  journal = {Proceedings Third Asian Conference on Computer Vision, Lecture Notes in Computer Science 1351.},
  year    = {1998},
  url     = {https://doi.org/10.1007/3-540-63930-6\_138}
}

%-----------------------------
% Q
%-----------------------------



%-----------------------------
% R
%-----------------------------



%-----------------------------
% S
%-----------------------------

@article{Ferri_Frosini_comparision_sheme_1,
  author  = {P. Donatini and P. Frosini and A. Lovato},
  title   = {Size functions for signature recognition.},
  journal = {Proceedings of SPIE, Vision Geometry VII, vol. 3454},
  year    = {1998},
  url     = {https://doi.org/10.1117/12.323253}
}

@inproceedings{pmlr-v70-carriere17a,
  title     = {Sliced {W}asserstein Kernel for Persistence Diagrams},
  author    = {Mathieu Carri{\`e}re and Marco Cuturi and Steve Oudot},
  booktitle = {Proceedings of the 34th International Conference on Machine Learning},
  pages     = {664--673},
  year      = {2017},
  editor    = {Doina Precup and Yee Whye Teh},
  volume    = {70},
  series    = {Proceedings of Machine Learning Research},
  address   = {International Convention Centre, Sydney, Australia},
  month     = {06--11 Aug},
  publisher = {PMLR},
  url       = {http://proceedings.mlr.press/v70/carriere17a.html}
}

@article{Carriere_Oudot_Ovsjanikov_top_signatures_3d,
  author  = {M. Carri\`ere and S. Oudot and M. Ovsjanikov},
  title   = {Stable Topological Signatures for Points on 3D Shapes.},
  journal = {Proc. Sympos. on Geometry Processing},
  year    = {2015},
  url     = {https://doi.org/10.1111/cgf.12692}
}

@article{Carriere17c,
  author    = {Carri{\`{e}}re, Mathieu and Michel, Bertrand and Oudot, Steve},
  journal   = {Journal of Machine Learning Research},
  pages     = {1--39},
  publisher = {JMLR.org},
  title     = {{Statistical analysis and parameter selection for Mapper}},
  volume    = {19},
  year      = {2018},
  url       = {https://jmlr.org/papers/v19/17-291.html}
}

@article{bubenik_landscapes_2015,
  author  = {P. Bubenik},
  title   = {Statistical topological data analysis using persistence landscapes.},
  journal = {Journal of Machine Learning Research},
  year    = {2015},
  url     = {https://dl.acm.org/doi/10.5555/2789272.2789275}
}

@article{Carriere16,
  author    = {Carri{\`{e}}re, Mathieu and Oudot, Steve},
  journal   = {Foundations of Computational Mathematics},
  number    = {6},
  pages     = {1333--1396},
  publisher = {Springer-Verlag},
  doi       = {10.1007/s10208-017-9370-z},
  title     = {{Structure and stability of the one-dimensional Mapper}},
  volume    = {18},
  year      = {2017},
  url       = {https://doi.org/10.1007/s10208-017-9370-z}
}

@misc{icml2014,
  doi       = {10.48550/ARXIV.1406.1901},
  url       = {https://arxiv.org/abs/1406.1901},
  author    = {Chazal, Frédéric and Fasy, Brittany Terese and Lecci, Fabrizio and Michel, Bertrand and Rinaldo, Alessandro and Wasserman, Larry},
  keywords  = {Algebraic Topology (math.AT), Computational Geometry (cs.CG), Applications (stat.AP), FOS: Mathematics, FOS: Mathematics, FOS: Computer and information sciences, FOS: Computer and information sciences},
  title     = {Subsampling Methods for Persistent Homology},
  publisher = {arXiv},
  year      = {2014},
  copyright = {arXiv.org perpetual, non-exclusive license}
}

@inproceedings{Garland,
  author    = {Garland, Michael and Heckbert, Paul S.},
  title     = {Surface simplification using quadric error metrics},
  booktitle = {Proceedings of the 24th annual conference on Computer graphics and interactive techniques},
  series    = {SIGGRAPH '97},
  year      = {1997},
  isbn      = {0-89791-896-7},
  pages     = {209--216},
  numpages  = {8},
  publisher = {ACM Press/Addison-Wesley Publishing Co.},
  address   = {New York, NY, USA},
  keywords  = {level of detail, mutiresolution modeling, non-manifold, pair contraction, surface simplification},
  url       = {https://doi.org/10.1145/258734.258849}
}

@misc{edgecollapsearxiv,
  author = {Marc Glisse and Siddharth Pritam},
  title  = {{Swap, Shift and Trim to Edge Collapse a Filtration}},
  url    = {https://arxiv.org/abs/2203.07022}
}

%-----------------------------
% T
%-----------------------------

@inproceedings{DBLP:conf/esa/BoissonnatDM13,
  author    = {Jean-Daniel Boissonnat and
               Tamal K. Dey and
               Cl{\'e}ment Maria},
  title     = {The Compressed Annotation Matrix: An Efficient Data Structure for Computing Persistent Cohomology},
  url       = {http://dx.doi.org/10.1007/978-3-642-40450-4_59},
  doi       = {10.1007/978-3-642-40450-4_59},
  booktitle = {ESA},
  year      = {2013},
  pages     = {695-706},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{boissonnatmariasimplextreealgorithmica,
  year      = {2014},
  issn      = {0178-4617},
  journal   = {Algorithmica},
  doi       = {10.1007/s00453-014-9887-3},
  title     = {The Simplex Tree: An Efficient Data Structure for General Simplicial Complexes},
  url       = {http://dx.doi.org/10.1007/s00453-014-9887-3},
  publisher = {Springer US},
  keywords  = {Simplicial complexes; Data structure; Computational topology; Flag complexes; Witness complexes},
  author    = {Boissonnat, Jean-Daniel and Maria, Cl\'ement},
  pages     = {1-22},
  language  = {English}
}

@article{de2004topological,
  title   = {Topological estimation using witness complexes},
  author  = {De Silva, Vin and Carlsson, Gunnar},
  journal = {Proc. Sympos. Point-Based Graphics},
  pages   = {157-166},
  year    = {2004},
  url     = {https://doi.org/10.2312/SPBG/SPBG04/157-166}
}

%-----------------------------
% U
%-----------------------------



%-----------------------------
% V
%-----------------------------

@inproceedings{vineyards,
  author    = {David Cohen-Steiner and
               Herbert Edelsbrunner and
               Dmitriy Morozov},
  title     = {Vines and vineyards by updating persistence in linear time},
  booktitle = {Symposium on Computational Geometry},
  year      = {2006},
  pages     = {119-126},
  ee        = {http://doi.acm.org/10.1145/1137856.1137877},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1145/1137856.1137877}
}

@inproceedings{cavanna15visualizing,
  author    = {Nicholas J. Cavanna and Mahmoodreza Jahanseir and Donald R. Sheehy},
  booktitle = {Proceedings of the 31st International Symposium on Computational Geometry},
  title     = {Visualizing Sparse Filtrations},
  year      = {2015},
  doi       = {10.4230/LIPIcs.SOCG.2015.23},
  url       = {https://doi.org/10.4230/LIPIcs.SOCG.2015.23}
}

%-----------------------------
% W
%-----------------------------



%-----------------------------
% X
%-----------------------------



%-----------------------------
% Y
%-----------------------------



%-----------------------------
% Z
%-----------------------------

@article{DBLP:journals/focm/CarlssonS10,
  author    = {Gunnar E. Carlsson and
               Vin de Silva},
  title     = {Zigzag Persistence},
  journal   = {Foundations of Computational Mathematics},
  volume    = {10},
  number    = {4},
  year      = {2010},
  pages     = {367-405},
  doi       = {10.1007/s10208-010-9066-0},
  ee        = {http://dx.doi.org/10.1007/s10208-010-9066-0},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1007/s10208-010-9066-0}
}

@inproceedings{zigzag,
  author    = {Cl{\'{e}}ment Maria and
               Steve Y. Oudot},
  title     = {Zigzag Persistence via Reflections and Transpositions},
  booktitle = {Proceedings of the Twenty-Sixth Annual {ACM-SIAM} Symposium on Discrete
               Algorithms, {SODA} 2015, San Diego, CA, USA, January 4-6, 2015},
  pages     = {181--199},
  publisher = {{SIAM}},
  year      = {2015},
  url       = {https://doi.org/10.1137/1.9781611973730.14},
  doi       = {10.1137/1.9781611973730.14}
}

%-----------------------------
% UNUSED
%-----------------------------

@book{Hatcher-algebraictopology2001,
  author       = {Hatcher, Allen},
  day          = {03},
  edition      = {1},
  howpublished = {Paperback},
  isbn         = {0521795400},
  keywords     = {topology},
  month        = dec,
  posted-at    = {2008-06-25 09:53:39},
  priority     = {2},
  publisher    = {Cambridge University Press},
  title        = {{Algebraic Topology}},
  url          = {http://www.math.cornell.edu/\~{}hatcher/AT/AT.pdf},
  year         = {2001}
}

@article{DBLP:journals/cagd/DelfinadoE95,
  author    = {Cecil Jose A. Delfinado and
               Herbert Edelsbrunner},
  title     = {An incremental algorithm for {B}etti numbers of simplicial
               complexes on the 3-sphere},
  journal   = {Computer Aided Geometric Design},
  volume    = {12},
  number    = {7},
  year      = {1995},
  pages     = {771-784},
  ee        = {http://dx.doi.org/10.1016/0167-8396(95)00016-Y},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{DBLP:journals/siamcomp/HopcroftK73,
  author    = {John E. Hopcroft and
               Richard M. Karp},
  title     = {An n$^{\mbox{5/2}}$ Algorithm for Maximum Matchings in Bipartite
               Graphs},
  journal   = {SIAM J. Comput.},
  volume    = {2},
  number    = {4},
  year      = {1973},
  pages     = {225-231},
  ee        = {http://dx.doi.org/10.1137/0202019},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@misc{ann_mount,
  author = {David M. Mount
            and Sunil Arya},
  title  = {\textsc{ANN}, {A}pproximate {N}earest {N}eighbors {L}ibrary},
  note   = {http://www.cs.sunysb.edu/~algorith/implement/ANN/implement.shtml}
}

@article{DBLP:journals/comgeo/ChenK13,
  author    = {Chao Chen and
               Michael Kerber},
  title     = {An output-sensitive algorithm for persistent homology},
  journal   = {Comput. Geom.},
  volume    = {46},
  number    = {4},
  year      = {2013},
  pages     = {435-447},
  ee        = {http://dx.doi.org/10.1016/j.comgeo.2012.02.010},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{RS62,
  author   = {J. B. Rosser and L. Schoenfeld},
  title    = {Approximate Formulas for some Functions of Prime Numbers},
  journal  = {ijm},
  volume   = 6,
  year     = 1962,
  pages    = {64-94},
  mrnumber = {25 \#1139}
}

@inproceedings{DBLP:conf/issac/StorjohannL96,
  author    = {Arne Storjohann and
               George Labahn},
  title     = {Asymptotically Fast Computation of {H}ermite Normal Forms
               of Integer Matrices},
  booktitle = {ISSAC},
  year      = {1996},
  pages     = {259-266},
  ee        = {http://doi.acm.org/10.1145/236869.237083},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{DBLP:journals/siamcomp/HafnerM91,
  author    = {James L. Hafner and
               Kevin S. McCurley},
  title     = {Asymptotically Fast Triangularization of Matrices Over Rings},
  journal   = {SIAM J. Comput.},
  volume    = {20},
  number    = {6},
  year      = {1991},
  pages     = {1068-1083},
  ee        = {http://dx.doi.org/10.1137/0220067},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@book{DBLP:tibkat_237559129,
  author = {Saunders Mac Lane},
  title  = {Categories for the working mathematician},
  year   = {1998},
  ee     = {http://www.zentralblatt-math.org/zmath/en/search/?an}
}

@article{DBLP:journals/corr/abs-1205-3669,
  author    = {Peter Bubenik and
               Jonathan A. Scott},
  title     = {Categorification of persistent homology},
  journal   = {CoRR},
  volume    = {abs/1205.3669},
  year      = {2012},
  ee        = {http://arxiv.org/abs/1205.3669},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@incollection{Bauer:arXiv1303.0477,
  year      = {2014},
  isbn      = {978-3-319-04098-1},
  booktitle = {Topological Methods in Data Analysis and Visualization III},
  doi       = {10.1007/978-3-319-04099-8_7},
  title     = {Clear and Compress: Computing Persistent Homology in Chunks},
  url       = {http://dx.doi.org/10.1007/978-3-319-04099-8_7},
  author    = {Bauer, Ulrich and Kerber, Michael and Reininghaus, Jan},
  pages     = {103-117},
  language  = {English}
}

@article{DBLP:journals/corr/abs-1210-1429,
  author    = {Pawel Dlotko and
               Hubert Wagner},
  title     = {Computing homology and persistent homology using iterated
               Morse decomposition},
  journal   = {CoRR},
  volume    = {abs/1210.1429},
  year      = {2012},
  ee        = {http://arxiv.org/abs/1210.1429},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{ghrist_coverage,
  author  = {V. de Silva and R. Ghrist},
  title   = {Coverage in sensor network via persistent homology},
  journal = {Algebraic {\&} Geometric Topology},
  volume  = {7},
  year    = {2007},
  pages   = {339-358}
}

@misc{dionysus_morozov,
  author = {Dmitriy Morozov},
  title  = {\textsc{Dionysus}},
  note   = {http://www.mrzv.org/software/dionysus/}
}

@inproceedings{DBLP:conf/alenex/BauerKR14,
  author    = {Ulrich Bauer and
               Michael Kerber and
               Jan Reininghaus},
  title     = {Distributed Computation of Persistent Homology},
  booktitle = {ALENEX},
  year      = {2014},
  pages     = {31-38},
  ee        = {http://dx.doi.org/10.1137/1.9781611973198.4},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{SMV211,
  author  = {V. de Silva and
             D. Morozov and
             M. Vejdemo-Johansson},
  title   = {Dualities in persistent (co)homology},
  journal = {Inverse Problems},
  volume  = {27},
  year    = {2011},
  pages   = {124003},
  url     = {http://arxiv.org/abs/1107.5665}
}  

@inproceedings{edgecollapsesocg2020,
  author    = {Jean-Daniel Boissonnat and Siddharth Pritam},
  title     = {{Edge Collapse and Persistence of Flag Complexes}},
  booktitle = {36th International Symposium on Computational Geometry (SoCG 2020)},
  pages     = {19:1--19:15},
  series    = {Leibniz International Proceedings in Informatics (LIPIcs)},
  isbn      = {978-3-95977-143-6},
  issn      = {1868-8969},
  year      = {2020},
  volume    = {164},
  editor    = {Sergio Cabello and Danny Z. Chen},
  publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address   = {Dagstuhl, Germany},
  url       = {https://drops.dagstuhl.de/opus/volltexte/2020/12177/},
  urn       = {urn:nbn:de:0030-drops-121777},
  doi       = {10.4230/LIPIcs.SoCG.2020.19},
  annote    = {Keywords: Computational Topology, Topological Data Analysis, Edge Collapse, Simple Collapse, Persistent homology}
}

@inproceedings{DBLP:conf/soda/BentleyS97,
  author    = {Jon Louis Bentley and
               Robert Sedgewick},
  title     = {Fast Algorithms for Sorting and Searching Strings},
  booktitle = {SODA},
  year      = {1997},
  pages     = {360-369},
  ee        = {http://doi.acm.org/10.1145/314161.314321},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{DBLP:journals/siamcomp/Furer09,
  author    = {Martin F{\"u}rer},
  title     = {Faster Integer Multiplication},
  journal   = {SIAM J. Comput.},
  volume    = {39},
  number    = {3},
  year      = {2009},
  pages     = {979-1005},
  ee        = {http://dx.doi.org/10.1137/070711761},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@inproceedings{deSilva:2013:GSP:2493132.2462402,
  author    = {de Silva, Vin and Nanda, Vidit},
  title     = {Geometry in the space of persistence modules},
  booktitle = {Proceedings of the twenty-ninth annual symposium on Computational geometry},
  series    = {SoCG '13},
  year      = {2013},
  isbn      = {978-1-4503-2031-3},
  location  = {Rio de Janeiro, Brazil},
  pages     = {397--404},
  numpages  = {8},
  url       = {http://doi.acm.org/10.1145/2462356.2462402},
  doi       = {10.1145/2462356.2462402},
  acmid     = {2462402},
  publisher = {ACM},
  address   = {New York, NY, USA},
  keywords  = {discrete and computational geometry, embedding theorem, persistent homology}
}

@misc{gmplib_cite,
  title = {GMP, The GNU Multiple Precision Arithmetic Library},
  note  = {http://gmplib.org/}
}

@book{Cormen:2001:IA:580470,
  author    = {Cormen, Thomas H. and Stein, Clifford and Rivest, Ronald L. and Leiserson, Charles E.},
  title     = {Introduction to Algorithms},
  year      = {2001},
  isbn      = {0070131511},
  edition   = {2nd},
  publisher = {McGraw-Hill Higher Education}
}

@misc{jplex_cite,
  author = {Sexton, Harlan and Johansson, Mikael Vejdemo},
  title  = {\textsc{JPlex}},
  year   = {2009},
  note   = {http://comptop.stanford.edu/programs/jplex/}
}

@book{Gathen:2003:MCA:945759,
  author    = {Gathen, Joachim Von Zur and Gerhard, Jurgen},
  title     = {Modern Computer Algebra},
  year      = {2003},
  isbn      = {0521826462},
  edition   = {2},
  publisher = {Cambridge University Press},
  address   = {New York, NY, USA}
}

@article{mischaikow_nanda_morse,
  year      = {2013},
  issn      = {0179-5376},
  journal   = {Discrete {\&} Computational Geometry},
  volume    = {50},
  number    = {2},
  doi       = {10.1007/s00454-013-9529-6},
  title     = {Morse Theory for Filtrations and Efficient Computation of Persistent Homology},
  url       = {http://dx.doi.org/10.1007/s00454-013-9529-6},
  publisher = {Springer US},
  keywords  = {Computational topology; Discrete Morse theory; Persistent homology},
  author    = {Mischaikow, Konstantin and Nanda, Vidit},
  pages     = {330-353},
  language  = {English}
}

@inproceedings{DBLP:conf/issac/Storjohann96,
  author    = {Arne Storjohann},
  title     = {Near Optimal Algorithms for Computing Smith Normal Forms
               of Integer Matrices},
  booktitle = {ISSAC},
  year      = {1996},
  pages     = {267-274},
  ee        = {http://doi.acm.org/10.1145/236869.237084},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@inproceedings{sheehy20onehop,
  title     = {One Hop Greedy Permutations},
  author    = {Donald R. Sheehy},
  booktitle = {Proceedings of the 32nd Canadian Conference on Computational Geometry},
  pages     = {221--225},
  year      = {2020},
  url       = {https://par.nsf.gov/biblio/10211951}
}

@article{journals/moc/Moller08,
  added-at  = {2011-04-10T00:00:00.000+0200},
  author    = {M\"oller, Niels},
  biburl    = {http://www.bibsonomy.org/bibtex/2a40c83ae0a723c978ff29ccaec7ff7ee/dblp},
  ee        = {http://dx.doi.org/10.1090/S0025-5718-07-02017-0},
  interhash = {d2f425fef08e9b3ea347b12cbcf9792f},
  intrahash = {a40c83ae0a723c978ff29ccaec7ff7ee},
  journal   = {Math. Comput.},
  keywords  = {dblp},
  number    = 261,
  pages     = {589-607},
  timestamp = {2011-04-10T00:00:00.000+0200},
  title     = {On Sch\"onhage's algorithm and subquadratic integer gcd computation.},
  url       = {http://dblp.uni-trier.de/db/journals/moc/moc77.html#Moller08},
  volume    = 77,
  year      = 2008
}

@article{Carlsson:2008:LBS:1325290.1325300,
  author    = {Carlsson, Gunnar and Ishkhanov, Tigran and Silva, Vin and Zomorodian, Afra},
  title     = {On the Local Behavior of Spaces of Natural Images},
  journal   = {Int. J. Comput. Vision},
  volume    = {76},
  issue     = {1},
  month     = {January},
  year      = {2008},
  issn      = {0920-5691},
  pages     = {1--12},
  numpages  = {12},
  url       = {http://portal.acm.org/citation.cfm?id=1325290.1325300},
  doi       = {10.1007/s11263-007-0056-x},
  acmid     = {1325300},
  publisher = {Kluwer Academic Publishers},
  address   = {Hingham, MA, USA},
  keywords  = {Filtration, Klein bottle, Manifold, Natural images, Persistent homology, Topology}
}

@article{Morozov05persistencealgorithm,
  author  = {Dmitriy Morozov},
  title   = {Persistence algorithm takes cubic time in worst case},
  journal = {BioGeometry News, Dept. Comput. Sci., Duke Univ},
  year    = {2005}
}

@inproceedings{Chen11persistenthomology,
  author    = {Chao Chen and Michael Kerber},
  title     = {Persistent homology computation with a twist},
  booktitle = {Proceedings 27th European Workshop on Computational Geometry},
  year      = {2011}
}

@misc{phat_lib,
  author = {Bauer, Ulrich and Kerber, Michael and Reininghaus, Jan},
  title  = {\textsc{Phat}},
  note   = {https://code.google.com/p/phat/}
}

@article{quiverrepresentations_derksenweyman,
  author  = {Harm Derksen and Jerzy Weyman},
  title   = {Quiver Representations},
  journal = {Notices of the AMS},
  volume  = {52},
  number  = {2},
  year    = {2005},
  pages   = {200-206}
}

@inproceedings{Rahimi07randomfeatures,
  author    = {Ali Rahimi and Ben Recht},
  title     = {Random features for large-scale kernel machines},
  booktitle = {In Neural Information Processing Systems},
  year      = {2007}
}

@article{DBLP:journals/dcg/Cohen-SteinerEH07,
  author    = {David Cohen-Steiner and
               Herbert Edelsbrunner and
               John Harer},
  title     = {Stability of Persistence Diagrams},
  journal   = {Discrete {\&} Computational Geometry},
  volume    = {37},
  number    = {1},
  year      = {2007},
  pages     = {103-120},
  ee        = {http://dx.doi.org/10.1007/s00454-006-1276-5},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{Fredman:1984:SST:828.1884,
  author     = {Fredman, Michael L. and Koml\'{o}s, J\'{a}nos and Szemer{\'e}di, Endre},
  title      = {Storing a Sparse Table with {O}(1) Worst Case Access Time},
  journal    = {J. ACM},
  issue_date = {July 1984},
  volume     = {31},
  number     = {3},
  month      = jun,
  year       = {1984},
  issn       = {0004-5411},
  pages      = {538--544},
  numpages   = {7},
  url        = {http://doi.acm.org/10.1145/828.1884},
  doi        = {10.1145/828.1884},
  acmid      = {1884},
  publisher  = {ACM},
  address    = {New York, NY, USA}
}

@book{DBLP:books/aw/Knuth81,
  author    = {Donald E. Knuth},
  title     = {The Art of Computer Programming, Volume II: Seminumerical
               Algorithms, 2nd Edition},
  publisher = {Addison-Wesley},
  year      = {1981},
  isbn      = {0-201-03822-6},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@book{DBLP:books/aw/AhoHU74,
  author    = {Alfred V. Aho and
               John E. Hopcroft and
               Jeffrey D. Ullman},
  title     = {The Design and Analysis of Computer Algorithms},
  publisher = {Addison-Wesley},
  year      = {1974},
  isbn      = {0-201-00029-6},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{DBLP:journals/ijcv/LeePM03,
  author    = {Ann B. Lee and
               Kim Steenstrup Pedersen and
               David Mumford},
  title     = {The Nonlinear Statistics of High-Contrast Patches in Natural
               Images},
  journal   = {International Journal of Computer Vision},
  volume    = {54},
  number    = {1-3},
  year      = {2003},
  pages     = {83-103},
  ee        = {http://dx.doi.org/10.1023/A:1023705401078},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@misc{buddha_stanford_scan,
  author = {},
  title  = {The Stanford 3D Scanning Repository},
  note   = {http://graphics.stanford.edu/data/3Dscanrep/}
}

@article{DBLP:journals/dcg/EdelsbrunnerLZ02,
  author    = {Herbert Edelsbrunner and
               David Letscher and
               Afra Zomorodian},
  title     = {Topological Persistence and Simplification},
  journal   = {Discrete Comput. Geom.},
  volume    = {28},
  number    = {4},
  year      = {2002},
  pages     = {511-533},
  ee        = {http://dx.doi.org/10.1007/s00454-002-2885-2},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{martin2010top,
  title    = {Topology of cyclo-octane energy landscape.},
  author   = {Martin, S. and Thompson, A. and Coutsias, E.A. and Watson, J.},
  journal  = {J Chem Phys},
  volume   = {132},
  number   = {23},
  pages    = {234115},
  year     = {2010},
  abstract = {Understanding energy landscapes is a major challenge in chemistry and biology. Although a wide variety of methods have been invented and applied to this problem, very little is understood about the actual mathematical structures underlying such landscapes. Perhaps the most general assumption is the idea that energy landscapes are low-dimensional manifolds embedded in high-dimensional Euclidean space. While this is a very mild assumption, we have discovered an example of an energy landscape which is nonmanifold, demonstrating previously unknown mathematical complexity. The example occurs in the energy landscape of cyclo-octane, which was found to have the structure of a reducible algebraic variety, composed of the union of a sphere and a Klein bottle, intersecting in two rings.}
}

@inproceedings{CO08,
  author    = {F. Chazal and S. Oudot},
  title     = {Towards persistence-based reconstruction in Euclidean spaces},
  booktitle = {Proc. 24th. Annu. Sympos. Comput. Geom.},
  year      = {2008},
  pages     = {231-241}
}

@article{rips2012,
  hal_id      = {hal-00785072},
  url         = {https://hal.archives-ouvertes.fr/hal-00785072},
  title       = {{Vietoris-Rips Complexes also Provide Topologically Correct Reconstructions of Sampled Shapes}},
  author      = {Attali, Dominique and Lieutier, Andr{\'e} and Salinas, David},
  keywords    = {Shape reconstruction \sep Rips complexes \sep clique complexes \sep \v Cech complexes ; homotopy equivalence ; collapses ; high dimensions},
  language    = {Anglais},
  affiliation = {Grenoble Images Parole Signal Automatique - GIPSA-lab , Laboratoire Jean Kuntzmann - LJK},
  pages       = {448-465},
  journal     = {Computational Geometry},
  volume      = {46},
  number      = {4, special issue },
  audience    = {internationale },
  doi         = {10.1016/j.comgeo.2012.02.009 },
  year        = {2012},
  pdf         = {http://hal.archives-ouvertes.fr/hal-00785072/PDF/2012-cgta-Rips.pdf}
}

@inproceedings{DBLP:conf/compgeom/CarlssonSM09,
  author    = {Gunnar E. Carlsson and
               Vin de Silva and
               Dmitriy Morozov},
  title     = {Zigzag persistent homology and real-valued functions},
  booktitle = {Symposium on Computational Geometry},
  year      = {2009},
  pages     = {247-256},
  ee        = {http://doi.acm.org/10.1145/1542362.1542408},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@inproceedings{DBLP:conf/compgeom/MilosavljevicMS11,
  author    = {Nikola Milosavljevic and
               Dmitriy Morozov and
               Primoz Skraba},
  title     = {Zigzag persistent homology in matrix multiplication time},
  booktitle = {Symposium on Comp. Geom.},
  year      = {2011},
  ee        = {http://doi.acm.org/10.1145/1998196.1998229},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}







