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Volumn 43, Issue 2 SPEC. ISS., 2010, Pages 169-181

Measuring and computing natural generators for homology groups

Author keywords

Computational geometry; Computational topology; Finite field linear algebra; Homology; Homology basis; Persistent homology; Stability

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; LINEAR ALGEBRA; VAN DE GRAAFF GENERATORS;

EID: 80053182511     PISSN: 09257721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.comgeo.2009.06.004     Document Type: Conference Paper
Times cited : (48)

References (27)
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    • Optimally cutting a surface into a disk
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    • (2004) Discrete Comput. Geom. , vol.31 , Issue.1 , pp. 37-59
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  • 5
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    • Coverage in sensor networks via persistent homology
    • Vin de Silva, and Robert Ghrist Coverage in sensor networks via persistent homology Algebr. Geom. Topol. 7 2007 339 358
    • (2007) Algebr. Geom. Topol. , vol.7 , pp. 339-358
    • De Silva, V.1    Ghrist, R.2
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    • 70349220130 scopus 로고    scopus 로고
    • Persistent homology - A survey
    • J.E. Goodman, J. Pach, R. Pollack, AMS
    • Herbert Edelsbrunner, and John Harer Persistent homology - A survey J.E. Goodman, J. Pach, R. Pollack, Twenty Years After 2007 AMS
    • (2007) Twenty Years after
    • Edelsbrunner, H.1    Harer, J.2
  • 16
    • 58849140892 scopus 로고    scopus 로고
    • Extending persistent homology using Poincaré and Lefschetz duality
    • David Cohen-Steiner, Herbert Edelsbrunner, and John Harer Extending persistent homology using Poincaré and Lefschetz duality Found. Comput. Math. 9 1 2009 79 103
    • (2009) Found. Comput. Math. , vol.9 , Issue.1 , pp. 79-103
    • Cohen-Steiner, D.1    Edelsbrunner, H.2    Harer, J.3
  • 21
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    • Homology computation by reduction of chain complexes
    • T. Kaczynski, M. Mrozek, and M. Slusarek Homology computation by reduction of chain complexes Comput. Math. Appl. 35 1998 59 70
    • (1998) Comput. Math. Appl. , vol.35 , pp. 59-70
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    • Solving sparse linear equations over finite fields
    • Douglas H. Wiedemann Solving sparse linear equations over finite fields IEEE Trans. Inform. Theory 32 1 1986 54 62
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    • Wiedemann, D.H.1
  • 27
    • 70349159494 scopus 로고    scopus 로고
    • Persistent homology for kernels, images, and cokernels
    • David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov, Persistent homology for kernels, images, and cokernels, in: SODA, 2009, pp. 1011-1020
    • (2009) SODA , pp. 1011-1020
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.