메뉴 건너뛰기




Volumn 38, Issue 3, 2011, Pages 269-323

Sparse random graphs with clustering

Author keywords

Clustering; Phase transition; Random graphs

Indexed keywords


EID: 79953013757     PISSN: 10429832     EISSN: 10982418     Source Type: Journal    
DOI: 10.1002/rsa.20322     Document Type: Article
Times cited : (44)

References (37)
  • 1
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • R. Albert, A.-L. Barabási, Statistical mechanics of complex networks, Rev Mod Phys 74 (2002), 47-97.
    • (2002) Rev Mod Phys , vol.74 , pp. 47-97
    • Albert, R.1    Barabási, A.-L.2
  • 2
    • 0034721164 scopus 로고    scopus 로고
    • Error and attack tolerance of complex networks
    • R. Albert, H. Jeong, A.-L. Barabási, Error and attack tolerance of complex networks, Nature 406 (2000), 378-382.
    • (2000) Nature , vol.406 , pp. 378-382
    • Albert, R.1    Jeong, H.2    Barabási, A.-L.3
  • 3
    • 40749096896 scopus 로고    scopus 로고
    • Processes on unimodular random networks
    • D. Aldous, R. Lyons, Processes on unimodular random networks, Electron J Probab 12 (2007), 1454-1508.
    • (2007) Electron J Probab , vol.12 , pp. 1454-1508
    • Aldous, D.1    Lyons, R.2
  • 5
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • A.-L. Barabási, R. Albert, Emergence of scaling in random networks, Science 286 (1999), 509-512.
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.-L.1    Albert, R.2
  • 7
    • 0242278812 scopus 로고    scopus 로고
    • Recurrence of distributional limits of finite planar graphs
    • no. 23, pp (electronic).
    • I. Benjamini, O. Schramm, Recurrence of distributional limits of finite planar graphs, Electron J Probab 6 (2001), no. 23, 13 pp (electronic).
    • (2001) Electron J Probab , vol.6 , pp. 13
    • Benjamini, I.1    Schramm, O.2
  • 8
    • 0003904891 scopus 로고    scopus 로고
    • Springer-Verlag, New York, xiv+394.
    • B. Bollobás, Modern graph theory, Springer-Verlag, New York, 1998, pp. xiv+394.
    • (1998) Modern graph theory
    • Bollobás, B.1
  • 12
    • 79953005029 scopus 로고    scopus 로고
    • The cut metric, branching processes and random graphs
    • arXiv:0901.2091
    • B. Bollobás, S. Janson, O. Riordan, The cut metric, branching processes and random graphs, arXiv:0901.2091.
    • Bollobás, B.1    Janson, S.2    Riordan, O.3
  • 13
    • 0742275434 scopus 로고    scopus 로고
    • Mathematical results on scale-free random graphs
    • S. Bornholdt, H. G. Schuster (Editors), Wiley-VCH, Weinheim
    • B. Bollobás, O. Riordan, Mathematical results on scale-free random graphs, In Handbook of Graphs and Networks, S. Bornholdt, H. G. Schuster (Editors), Wiley-VCH, Weinheim, 2002, pp. 1-34.
    • (2002) In Handbook of Graphs and Networks , pp. 1-34
    • Bollobás, B.1    Riordan, O.2
  • 14
    • 84906244198 scopus 로고    scopus 로고
    • Robustness and vulnerability of scale-free random graphs
    • B. Bollobás, O. Riordan, Robustness and vulnerability of scale-free random graphs, Internet Math 1 (2003), 1-35.
    • (2003) Internet Math , vol.1 , pp. 1-35
    • Bollobás, B.1    Riordan, O.2
  • 15
    • 2542530739 scopus 로고    scopus 로고
    • The diameter of a scale-free random graph
    • B. Bollobás, O. Riordan, The diameter of a scale-free random graph, Combinatorica 24 (2004), 5-34.
    • (2004) Combinatorica , vol.24 , pp. 5-34
    • Bollobás, B.1    Riordan, O.2
  • 16
    • 79960866158 scopus 로고    scopus 로고
    • "Metrics for sparse graphs,"
    • London Math Soc Lecture Note Ser 365, S. Huczynska, J. D. Mitchell, C. M. Roney-Dougal (Editors), Cambridge University Press, Cambridge, 2009.
    • B. Bollobás, O. Riordan, "Metrics for sparse graphs, "In Surveys in Combinatorics (2009), London Math Soc Lecture Note Ser 365, S. Huczynska, J. D. Mitchell, C. M. Roney-Dougal (Editors), Cambridge University Press, Cambridge, 2009, pp. 212-287.
    • (2009) In Surveys in Combinatorics , pp. 212-287
    • Bollobás, B.1    Riordan, O.2
  • 18
    • 53349180210 scopus 로고    scopus 로고
    • Convergent sequences of dense graphs I: Subgraph frequencies, metric properties and testing
    • C. Borgs, J. T. Chayes, L. Lovász, V. T. Sós, K. Vesztergombi, Convergent sequences of dense graphs I: Subgraph frequencies, metric properties and testing, Adv Math 219 (2008), 1801-1851.
    • (2008) Adv Math , vol.219 , pp. 1801-1851
    • Borgs, C.1    Chayes, J.T.2    Lovász, L.3    Sós, V.T.4    Vesztergombi, K.5
  • 19
    • 65249170539 scopus 로고    scopus 로고
    • Convergent sequences of dense graphs II: Multiway cuts and statistical physics
    • Preprint.
    • C. Borgs, T. J. Chayes, L. Lovász, V. T. Sós, K. Vesztergombi, Convergent sequences of dense graphs II: Multiway cuts and statistical physics, Preprint (2007).
    • (2007)
    • Borgs, C.1    Chayes, T.J.2    Lovász, L.3    Sós, V.T.4    Vesztergombi, K.5
  • 21
    • 4243939794 scopus 로고    scopus 로고
    • Network robustness and fragility: Percolation on random graphs
    • D. S. Callaway, M. E. J. Newman, S. H. Strogatz, D. J. Watts, Network robustness and fragility: Percolation on random graphs, Phys Rev Lett 85 (2000), 5468-5471.
    • (2000) Phys Rev Lett , vol.85 , pp. 5468-5471
    • Callaway, D.S.1    Newman, M.E.J.2    Strogatz, S.H.3    Watts, D.J.4
  • 22
    • 0034323311 scopus 로고    scopus 로고
    • Resilience of the Internet to random breakdowns
    • R. Cohen, K. Erez, D. ben-Avraham, S. Havlin, Resilience of the Internet to random breakdowns, Phys Rev Lett 85 (2000), 4626-4628.
    • (2000) Phys Rev Lett , vol.85 , pp. 4626-4628
    • Cohen, R.1    Erez, K.2    ben-Avraham, D.3    Havlin, S.4
  • 24
    • 70349451416 scopus 로고    scopus 로고
    • Graph limits and exchangeable random graphs
    • P. Diaconis, S. Janson, Graph limits and exchangeable random graphs, Rendiconti di Matematica 28 (2008), 33-61.
    • (2008) Rendiconti di Matematica , vol.28 , pp. 33-61
    • Diaconis, P.1    Janson, S.2
  • 27
    • 0033204106 scopus 로고    scopus 로고
    • On power-law relationships of the internet topology, SIGCOMM 1999
    • M. Faloutsos, P. Faloutsos, C. Faloutsos, On power-law relationships of the internet topology, SIGCOMM 1999, Comput Commun Rev 29 (1999), 251.
    • (1999) Comput Commun Rev , vol.29 , pp. 251
    • Faloutsos, M.1    Faloutsos, P.2    Faloutsos, C.3
  • 28
    • 0040942625 scopus 로고    scopus 로고
    • Quick approximation to matrices and applications
    • A. Frieze, R. Kannan, Quick approximation to matrices and applications, Combinatorica 19 (1999), 175-220.
    • (1999) Combinatorica , vol.19 , pp. 175-220
    • Frieze, A.1    Kannan, R.2
  • 29
    • 70349440773 scopus 로고    scopus 로고
    • Standard representation of multivariate functions on a general probability space
    • S. Janson, Standard representation of multivariate functions on a general probability space, Electron Comm Probab 14 (2009), 343-346.
    • (2009) Electron Comm Probab , vol.14 , pp. 343-346
    • Janson, S.1
  • 30
    • 70749107400 scopus 로고    scopus 로고
    • Asymptotic equivalence and contiguity of some random graphs
    • S. Janson, Asymptotic equivalence and contiguity of some random graphs, Random Struct Algorithms 36 (2010), 26-45.
    • (2010) Random Struct Algorithms , vol.36 , pp. 26-45
    • Janson, S.1
  • 32
    • 0035363060 scopus 로고    scopus 로고
    • Organization of growing random networks
    • P. L. Krapivsky, S. Redner, Organization of growing random networks, Phys Rev E 66 (2001), 066123.
    • (2001) Phys Rev E , vol.66 , pp. 066123
    • Krapivsky, P.L.1    Redner, S.2
  • 34
    • 33845276522 scopus 로고    scopus 로고
    • Limits of dense graph sequences
    • L. Lovász, B. Szegedy, Limits of dense graph sequences, J Combin Theory B 96 (2006), 933-957.
    • (2006) J Combin Theory B , vol.96 , pp. 933-957
    • Lovász, L.1    Szegedy, B.2
  • 35
    • 18744389789 scopus 로고    scopus 로고
    • Assortative mixing in networks
    • M. E. J. Newman, Assortative mixing in networks, Phys Rev Lett 89 (2002), 208701.
    • (2002) Phys Rev Lett , vol.89 , pp. 208701
    • Newman, M.E.J.1
  • 36
    • 26844481982 scopus 로고    scopus 로고
    • The small giant component in scale-free random graphs
    • O. Riordan, The small giant component in scale-free random graphs, Comb Probab Comput 14 (2005), 897-938.
    • (2005) Comb Probab Comput , vol.14 , pp. 897-938
    • Riordan, O.1
  • 37
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • D. J. Watts, S. H. Strogatz, Collective dynamics of 'small-world' networks, Nature 393 (1998), 440-442.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.