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Volumn 96, Issue 3, 2017, Pages

Construction of and efficient sampling from the simplicial configuration model

Author keywords

[No Author keywords available]

Indexed keywords

MARKOV PROCESSES;

EID: 85029828746     PISSN: 24700045     EISSN: 24700053     Source Type: Journal    
DOI: 10.1103/PhysRevE.96.032312     Document Type: Article
Times cited : (86)

References (41)
  • 4
    • 84255196314 scopus 로고    scopus 로고
    • M. E. J. Newman, Nat. Phys. 8, 25 (2012). 1745-2473 10.1038/nphys2162
    • (2012) Nat. Phys. , vol.8 , pp. 25
    • Newman, M.E.J.1
  • 17
  • 20
  • 29
    • 0004193355 scopus 로고    scopus 로고
    • (Cambridge University Press, Cambridge, UK)
    • A. Hatcher, Algebraic Topology (Cambridge University Press, Cambridge, UK, 2000).
    • (2000) Algebraic Topology
    • Hatcher, A.1
  • 32
    • 85029835825 scopus 로고    scopus 로고
    • We provide a reference c ++ implementation of the sampler as well as tutorials at
    • We provide a reference c ++ implementation of the sampler as well as tutorials at https://www.github.com/jg-you/scm.
  • 36
    • 85029854607 scopus 로고    scopus 로고
    • We represent the support of the SCM as a graph (Equation presented). If (Equation presented) is an expander, then the sampler yields uncorrelated configuration with high probability after (Equation presented) steps; the suggested (Equation presented) follows from the loose upper bound (Equation presented). A proof that (Equation presented) is in fact an expander will depend on (Equation presented); however, we note that (Equation presented) shares two important properties with all expanders for sufficiently large (Equation presented): It is connected and not bipartite
    • We represent the support of the SCM as a graph (Equation presented). If (Equation presented) is an expander, then the sampler yields uncorrelated configuration with high probability after (Equation presented) steps; the suggested (Equation presented) follows from the loose upper bound (Equation presented). A proof that (Equation presented) is in fact an expander will depend on (Equation presented); however, we note that (Equation presented) shares two important properties with all expanders for sufficiently large (Equation presented): It is connected and not bipartite.
  • 37
    • 42749099621 scopus 로고    scopus 로고
    • M. E. J. Newman, Phys. Rev. E 68, 026121 (2003). 1063-651X 10.1103/PhysRevE.68.026121
    • (2003) Phys. Rev. e , vol.68 , pp. 026121
    • Newman, M.E.J.1
  • 41
    • 37649028224 scopus 로고    scopus 로고
    • M. E. J. Newman and M. Girvan, Phys. Rev. E 69, 026113 (2004). PLEEE8 1539-3755 10.1103/PhysRevE.69.026113
    • (2004) Phys. Rev. e , vol.69 , pp. 026113
    • Newman, M.E.J.1    Girvan, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.