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Volumn 38, Issue 1, 2010, Pages 150-183

Percolation on dense graph sequences

Author keywords

Cut metric; Percolation; Random graphs

Indexed keywords


EID: 77953722489     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/09-AOP478     Document Type: Article
Times cited : (78)

References (21)
  • 2
    • 4544271923 scopus 로고    scopus 로고
    • Percolation on finite graphs and isoperimetric inequalities
    • ALON, N., BENJAMINI, I. and STACEY, A. (2004). Percolation on finite graphs and isoperimetric inequalities. Ann. Probab. 32 1727-1745.
    • (2004) Ann. Probab. , vol.32 , pp. 1727-1745
    • Alon, N.1    Benjamini, I.2    Stacey, A.3
  • 3
    • 0242278812 scopus 로고    scopus 로고
    • Recurrence of distributional limits of finite planar graphs
    • BENJAMINI, I. and SCHRAMM, O. (2001). Recurrence of distributional limits of finite planar graphs. Electron. J. Probab. 6 23.
    • (2001) Electron. J. Probab. , vol.6 , pp. 23
    • Benjamini, I.1    Schramm, O.2
  • 4
    • 0022116584 scopus 로고
    • Inequalities with applications to percolation and reliability
    • VAN DEN BERG, J. and KESTEN, H. (1985). Inequalities with applications to percolation and reliability. J. Appl. Probab. 22 556-569.
    • (1985) J. Appl. Probab. , vol.22 , pp. 556-569
    • Van Den Berg, J.1    Kesten, H.2
  • 5
    • 84968486917 scopus 로고
    • The evolution of random graphs
    • BOLLOBÁS, B. (1984). The evolution of random graphs. Trans. Amer. Math. Soc. 286 257-274.
    • (1984) Trans. Amer. Math. Soc. , vol.286 , pp. 257-274
    • Bollobás, B.1
  • 9
    • 27644597417 scopus 로고    scopus 로고
    • Random subgraphs of finite graphs. II. The lace expansion and the triangle condition
    • BORGS, C., CHAYES, J.T., VAN DER HOFSTAD, R., SLADE, G. and SPENCER, J. (2005). Random subgraphs of finite graphs. II. The lace expansion and the triangle condition. Ann. Probab. 33 1886-1944.
    • (2005) Ann. Probab. , vol.33 , pp. 1886-1944
    • Borgs, C.1    Chayes, J.T.2    Van Der Hofstad, R.3    Slade, G.4    Spencer, J.5
  • 10
    • 33749317177 scopus 로고    scopus 로고
    • Random subgraphs of finite graphs. III. The phase transition for the n-cube
    • BORGS, C., CHAYES, J.T.,VAN DER HOFSTAD, R., SLADE, G. and SPENCER, J. (2006). Random subgraphs of finite graphs. III. The phase transition for the n-cube. Combinatorica 26 395-410.
    • (2006) Combinatorica , vol.26 , pp. 395-410
    • Borgs, C.1    Chayes, J.T.2    Van Der Hofstad, R.3    Slade, G.4    Spencer, J.5
  • 11
    • 0035539932 scopus 로고    scopus 로고
    • The birth of the infinite cluster: Finite-size scaling in percolation
    • BORGS, C., CHAYES, J.T., KESTEN, H. and SPENCER, J. (2001). The birth of the infinite cluster: Finite-size scaling in percolation. Comm. Math. Phys. 224 153-204.
    • (2001) Comm. Math. Phys. , vol.224 , pp. 153-204
    • Borgs, C.1    Chayes, J.T.2    Kesten, H.3    Spencer, J.4
  • 14
    • 53349180210 scopus 로고    scopus 로고
    • Convergent sequences of dense graphs. I. Subgraph frequencies, metric properties and testing
    • BORGS, C., CHAYES, J.T., LOVÁSZ, L., SÓS, V.T. and VESZTERGOMBI, K. (2008). Convergent sequences of dense graphs. I. Subgraph frequencies, metric properties and testing. Adv. Math. 219 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
  • 17
    • 0348199014 scopus 로고    scopus 로고
    • The emergence of a giant component in random subgraphs of pseudo-random graphs
    • FRIEZE, A., KRIVELEVICH, M. and MARTIN, R. (2004). The emergence of a giant component in random subgraphs of pseudo-random graphs. Random Structures Algorithms 24 42-50.
    • (2004) Random Structures Algorithms , vol.24 , pp. 42-50
    • Frieze, A.1    Krivelevich, M.2    Martin, R.3
  • 19
    • 84990709764 scopus 로고
    • Component behavior near the critical point of the random graph process
    • ŁUCZAK, T. (1990). Component behavior near the critical point of the random graph process. Random Structures Algorithms 1 287-310.
    • (1990) Random Structures Algorithms , vol.1 , pp. 287-310
    • Łuczak, T.1
  • 20
    • 0034393238 scopus 로고    scopus 로고
    • Proof of the van den Berg-Kesten conjecture
    • REIMER, D. (2000). Proof of the van den Berg-Kesten conjecture. Combin. Probab. Comput. 9 27-32.
    • (2000) Combin. Probab. Comput. , vol.9 , pp. 27-32
    • Reimer, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.