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Volumn 26, Issue 1-2, 2005, Pages 52-68

Vertex and edge expansion properties for rapid mixing

Author keywords

Conductance; Isoperimetry; Markov chains; Mixing time; Spectral gap

Indexed keywords


EID: 22144462788     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/rsa.20045     Document Type: Conference Paper
Times cited : (2)

References (15)
  • 2
    • 51249173340 scopus 로고
    • Eigenvalues and expanders
    • N. Alon, Eigenvalues and expanders. Combinatorica 6(2) (1986), 83-96.
    • (1986) Combinatorica , vol.6 , Issue.2 , pp. 83-96
    • Alon, N.1
  • 3
    • 0040033234 scopus 로고    scopus 로고
    • Discrete isoperimetric and poincaré-type inequalities
    • S. Bobkov and F. Götze, Discrete isoperimetric and poincaré-type inequalities, Probab Theory Related Fields, 114(2) (1999), 245-277.
    • (1999) Probab Theory Related Fields , vol.114 , Issue.2 , pp. 245-277
    • Bobkov, S.1    Götze, F.2
  • 4
    • 0031497687 scopus 로고    scopus 로고
    • An isoperimetric inequality on the discrete cube, and an elemetary proof of the isoperimetric inequality in Gauss space
    • S. G. Bobkov, An isoperimetric inequality on the discrete cube, and an elemetary proof of the isoperimetric inequality in Gauss space, Ann Probab, 25(1) (1997), 206-214.
    • (1997) Ann Probab , vol.25 , Issue.1 , pp. 206-214
    • Bobkov, S.G.1
  • 5
    • 6344246438 scopus 로고    scopus 로고
    • Isoperimetric invariants for product markov chains and graph products
    • C. Houndré and P. Tetali, Isoperimetric invariants for product markov chains and graph products. Combinatorica 24(3) (2004), 359-380.
    • (2004) Combinatorica , vol.24 , Issue.3 , pp. 359-380
    • Houndré, C.1    Tetali, P.2
  • 6
    • 84898957407 scopus 로고
    • Conductance and the rapid mixing property for markov chains: The approximation of the permanent resolved
    • M. Jerrum and A. Sinclair, Conductance and the rapid mixing property for markov chains: the approximation of the permanent resolved, Proc 20th Annu ACM Symp Theory of Computing, 1988, pp. 235-243.
    • (1988) Proc 20th Annu ACM Symp Theory of Computing , pp. 235-243
    • Jerrum, M.1    Sinclair, A.2
  • 9
    • 0024772324 scopus 로고
    • Conductance and convergence of markov chains - A combinatorial treatment of expanders
    • M. Mihail, Conductance and convergence of markov chains - a combinatorial treatment of expanders, 30th Annu Symp Foundations of Computer Science, 1989, pp. 526-531.
    • (1989) 30th Annu Symp Foundations of Computer Science , pp. 526-531
    • Mihail, M.1
  • 10
  • 13
    • 22144464149 scopus 로고    scopus 로고
    • Ph.D. thesis, Department of Mathematics, Georgia Institute of Technology, Atlanta
    • S. Murali, Curvature, isoperimetry, and discrete spin systems, Ph.D. thesis, Department of Mathematics, Georgia Institute of Technology, Atlanta, 2001.
    • (2001) Curvature, Isoperimetry, and Discrete Spin Systems
    • Murali, S.1
  • 14
    • 84971804758 scopus 로고
    • Improved bounds for mixing rates of Markov chains and multicommodity flow
    • A. Sinclair, Improved bounds for mixing rates of Markov chains and multicommodity flow, Combin Probab Comput 1(4) (1992), 351-370.
    • (1992) Combin Probab Comput , vol.1 , Issue.4 , pp. 351-370
    • Sinclair, A.1
  • 15
    • 0003025668 scopus 로고
    • Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis' graph connectivity theorem
    • M. Talagrand, Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis' graph connectivity theorem, Geom Funct Anal 3(3) (1993), 295-314.
    • (1993) Geom Funct Anal , vol.3 , Issue.3 , pp. 295-314
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.