暂无分享,去创建一个
Primoz Skraba | David Lipsky | Mikael Vejdemo-Johansson | P. Skraba | D. Lipsky | Mikael Vejdemo-Johansson
[1] Herbert Edelsbrunner,et al. Computational Topology - an Introduction , 2009 .
[2] Afra Zomorodian,et al. Fast construction of the Vietoris-Rips complex , 2010, Comput. Graph..
[3] Marian Mrozek,et al. Coreduction Homology Algorithm , 2009, Discret. Comput. Geom..
[4] André Lieutier,et al. Efficient Data Structure for Representing and Simplifying Simplicial complexes in High Dimensions , 2012, Int. J. Comput. Geom. Appl..
[5] D. Eisenbud. Commutative Algebra: with a View Toward Algebraic Geometry , 1995 .
[6] Afra Zomorodian,et al. Localized Homology , 2007, IEEE International Conference on Shape Modeling and Applications 2007 (SMI '07).
[7] Pawel Dlotko,et al. Coreduction Homology Algorithm for Regular CW-Complexes , 2011, Discret. Comput. Geom..
[8] Konstantin Mischaikow,et al. Graph Approach to the Computation of the Homology of Continuous Maps , 2005, Found. Comput. Math..
[9] David Cohen-Steiner,et al. Vines and vineyards by updating persistence in linear time , 2006, SCG '06.
[10] Steve Oudot,et al. Towards persistence-based reconstruction in euclidean spaces , 2007, SCG '08.
[11] Herbert Edelsbrunner,et al. Topological Persistence and Simplification , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.
[12] Charles C. Sims,et al. Abstract algebra: A computational approach , 1984 .
[13] David Cohen-Steiner,et al. Persistent homology for kernels, images, and cokernels , 2009, SODA.
[14] P. Dlotko,et al. The Efficiency of a Homology Algorithm based on Discrete Morse Theory and Coreductions , 2010 .
[15] Afra Zomorodian,et al. Computing Persistent Homology , 2005, Discret. Comput. Geom..
[16] Chao Chen,et al. An output-sensitive algorithm for persistent homology , 2011, SoCG '11.
[17] Afra Zomorodian,et al. The tidy set: a minimal simplicial set for computing homology of clique complexes , 2010, SCG.
[18] Primoz Skraba,et al. Zigzag persistent homology in matrix multiplication time , 2011, SoCG '11.
[19] R. Ghrist. Barcodes: The persistent topology of data , 2007 .
[20] R. Godement,et al. Topologie algébrique et théorie des faisceaux , 1960 .
[21] Marian Mrozek,et al. Homology algorithm based on acyclic subspace , 2008, Comput. Math. Appl..
[22] A. Jadbabaie,et al. Decentralized Computation of Homology Groups in Networks by Gossip , 2007, 2007 American Control Conference.
[23] Loring W. Tu,et al. Differential forms in algebraic topology , 1982, Graduate texts in mathematics.
[24] R. Ho. Algebraic Topology , 2022 .
[25] Marian Mrozek,et al. Coreduction homology algorithm for inclusions and persistent homology , 2010, Comput. Math. Appl..
[26] Pawel Dlotko,et al. Distributed computation of coverage in sensor networks by homological methods , 2012, Applicable Algebra in Engineering, Communication and Computing.
[27] C. Thomas,et al. COHOMOLOGY OF GROUPS (Graduate Texts in Mathematics, 87) , 1984 .
[28] Gunnar E. Carlsson,et al. Topology and data , 2009 .