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Volumn 34, Issue 3, 2010, Pages 263-271

Fast construction of the Vietoris-Rips complex

Author keywords

Clique complex; Topological data analysis; Vietoris Rips complex

Indexed keywords

DATA HANDLING; INFORMATION ANALYSIS;

EID: 77955270465     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cag.2010.03.007     Document Type: Conference Paper
Times cited : (185)

References (39)
  • 1
    • 37549058056 scopus 로고    scopus 로고
    • Near-optimal hashing algorithms for approximate nearest neighbor in high dimensions
    • A. Andoni, and P. Indyk Near-optimal hashing algorithms for approximate nearest neighbor in high dimensions Communications of the ACM 51 1 2008 117 122
    • (2008) Communications of the ACM , vol.51 , Issue.1 , pp. 117-122
    • Andoni, A.1    Indyk, P.2
  • 2
    • 0032201716 scopus 로고    scopus 로고
    • An optimal algorithm for approximate nearest neighbor searching in fixed dimensions
    • S. Arya, D.M. Mount, N.S. Netanyahu, R. Silverman, and A.Y. Wu An optimal algorithm for approximate nearest neighbor searching in fixed dimensions Journal of the ACM 45 6 1998 891 923
    • (1998) Journal of the ACM , vol.45 , Issue.6 , pp. 891-923
    • Arya, S.1    Mount, D.M.2    Netanyahu, N.S.3    Silverman, R.4    Wu, A.Y.5
  • 4
    • 84976668743 scopus 로고
    • Algorithm 457: Finding all cliques in an undirected graph
    • C. Bron, and J. Kerbosch Algorithm 457: finding all cliques in an undirected graph Communications of the ACM 16 9 1973 575 577
    • (1973) Communications of the ACM , vol.16 , Issue.9 , pp. 575-577
    • Bron, C.1    Kerbosch, J.2
  • 7
    • 27844537900 scopus 로고    scopus 로고
    • Reporting maximal cliques: New insights into an old problem
    • INRIA
    • Cazals F, Karande C. Reporting maximal cliques: new insights into an old problem. Research Report 5642, INRIA; 2005.
    • (2005) Research Report , vol.5642
    • Cazals, F.1    Karande, C.2
  • 11
    • 0037904600 scopus 로고    scopus 로고
    • An upper bound on the sum of squares of degrees in a graph
    • D. de Caen An upper bound on the sum of squares of degrees in a graph Discrete Mathematics 185 1998 245 248
    • (1998) Discrete Mathematics , vol.185 , pp. 245-248
    • De Caen, D.1
  • 19
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • M. Gromov Hyperbolic groups S. Gersten, Essays in group theory 1987 Springer-Verlag New York, NY 75 263
    • (1987) Essays in Group Theory , pp. 75-263
    • Gromov, M.1
  • 20
    • 0004193355 scopus 로고    scopus 로고
    • Cambridge University Press New York, NY
    • A. Hatcher Algebraic topology 2002 Cambridge University Press New York, NY
    • (2002) Algebraic Topology
    • Hatcher, A.1
  • 22
    • 62149114733 scopus 로고    scopus 로고
    • Topology of random clique complexes
    • M. Kahle Topology of random clique complexes Discrete Mathematics 309 2009 1658 1671
    • (2009) Discrete Mathematics , vol.309 , pp. 1658-1671
    • Kahle, M.1
  • 24
    • 0034909407 scopus 로고    scopus 로고
    • Enumerating all connected maximal common subgraphs in two graphs
    • I. Koch Enumerating all connected maximal common subgraphs in two graphs Theoretical Computer Science 250 12 2001 1 30
    • (2001) Theoretical Computer Science , vol.250 , Issue.12 , pp. 1-30
    • Koch, I.1
  • 29
    • 0004918181 scopus 로고
    • A note on a method for generating points uniformly on n-dimensional spheres
    • M.E. Muller A note on a method for generating points uniformly on n-dimensional spheres Communications of the ACM 2 4 1959 19 20
    • (1959) Communications of the ACM , vol.2 , Issue.4 , pp. 19-20
    • Muller, M.E.1
  • 35
    • 0001040183 scopus 로고
    • Ber den hheren zusammenhang kompakter rume und eine klasse von zusammenhangstreuen abbildungen
    • L. Vietoris ber den hheren zusammenhang kompakter rume und eine klasse von zusammenhangstreuen abbildungen Mathematische Annalen 97 1 1927 454 472
    • (1927) Mathematische Annalen , vol.97 , Issue.1 , pp. 454-472
    • Vietoris, L.1
  • 36
    • 33646752957 scopus 로고    scopus 로고
    • A relationship between bounds on the sum of squares of degrees of a graph
    • Y.S. Yoon, and J.K. Kim A relationship between bounds on the sum of squares of degrees of a graph Journal of Applied Mathematics and Computing 21 12 2006
    • (2006) Journal of Applied Mathematics and Computing , vol.21 , Issue.12
    • Yoon, Y.S.1    Kim, J.K.2
  • 37
    • 77954898110 scopus 로고    scopus 로고
    • Computational topology
    • A. Zomorodian Computational topology M. Atallah, M. Blanton, Algorithms and theory of computation handbook vol. 2, 2nd ed. 2010 Chapman & Hall, CRC Press Boca Raton, FL 1 2 [chapter 3]
    • (2010) Algorithms and Theory of Computation Handbook , vol.22 , pp. 1-2
    • Zomorodian, A.1
  • 38
    • 77954929689 scopus 로고    scopus 로고
    • The tidy set: A minimal simplicial set for computing homology of clique complexes
    • to appear
    • Zomorodian A. The tidy set: a minimal simplicial set for computing homology of clique complexes. In: Proceedings of ACM symposium of computational geometry, 2010, to appear.
    • (2010) Proceedings of ACM Symposium of Computational Geometry
    • Zomorodian, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.