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Volumn 17, Issue 1, 2008, Pages 111-136

The k-core and branching processes

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

EID: 37249052213     PISSN: 09635483     EISSN: 14692163     Source Type: Journal    
DOI: 10.1017/S0963548307008589     Document Type: Article
Times cited : (60)

References (23)
  • 1
    • 0035627527 scopus 로고    scopus 로고
    • A random graph model for power law graphs
    • Aiello, W., Chung, F. and Lu, L. (2001) A random graph model for power law graphs. Experiment. Math. 10 53-66.
    • (2001) Experiment. Math , vol.10 , pp. 53-66
    • Aiello, W.1    Chung, F.2    Lu, L.3
  • 2
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • Barabási, A.-L. and Albert, R. (1999) Emergence of scaling in random networks. Science 286 509-512.
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.-L.1    Albert, R.2
  • 4
    • 22144454306 scopus 로고    scopus 로고
    • The phase transition in a uniformly grown random graph has infinite order
    • Bollobás, B., Janson, S. and Riordan, O. (2005) The phase transition in a uniformly grown random graph has infinite order. Random Struct. Alg. 26 1-36.
    • (2005) Random Struct. Alg , vol.26 , pp. 1-36
    • Bollobás, B.1    Janson, S.2    Riordan, O.3
  • 5
    • 34547688893 scopus 로고    scopus 로고
    • The phase transition in inhomogeneous random graphs
    • Bollobás, B., Janson, S. and Riordan, O. (2007) The phase transition in inhomogeneous random graphs. Random Struct. Alg. 31 3-122.
    • (2007) Random Struct. Alg , vol.31 , pp. 3-122
    • Bollobás, B.1    Janson, S.2    Riordan, O.3
  • 8
    • 84990675524 scopus 로고
    • Almost all graphs with 1.44n edges are 3-colorable
    • Chvátal, V. (1991) Almost all graphs with 1.44n edges are 3-colorable. Random Struct. Alg. 2 11-28.
    • (1991) Random Struct. Alg , vol.2 , pp. 11-28
    • Chvátal, V.1
  • 9
    • 11144249332 scopus 로고    scopus 로고
    • The cores of random hypergraphs with a given degree sequence
    • Cooper, C. (2004) The cores of random hypergraphs with a given degree sequence. Random Struct. Alg. 25 353-375.
    • (2004) Random Struct. Alg , vol.25 , pp. 353-375
    • Cooper, C.1
  • 10
    • 85037891195 scopus 로고    scopus 로고
    • Differential equation approximations for Markov chains
    • Manuscript
    • Darling, R. W. R. and Norris, J. R. (2005) Differential equation approximations for Markov chains. Manuscript.
    • (2005)
    • Darling, R.W.R.1    Norris, J.R.2
  • 11
    • 0035689340 scopus 로고    scopus 로고
    • Anomalous percolation properties of growing networks
    • Dorogovtsev, S. N., Mendes, J. F. F. and Samukhin, A. N. (2001) Anomalous percolation properties of growing networks. Phys. Rev. E 64 066110.
    • (2001) Phys. Rev. E , vol.64 , pp. 066110
    • Dorogovtsev, S.N.1    Mendes, J.F.F.2    Samukhin, A.N.3
  • 12
    • 37249009858 scopus 로고    scopus 로고
    • Durrett, R. (2003) Rigorous result for the CHKNS random graph model. In Proc. Discrete Random Walks 2003 (C. Banderier and C. Krattenthaler, eds), Discrete Mathematics and Theoretical Computer Science AC 95-104. http://dmtcs.loria.fr/proceedings/
    • Durrett, R. (2003) Rigorous result for the CHKNS random graph model. In Proc. Discrete Random Walks 2003 (C. Banderier and C. Krattenthaler, eds), Discrete Mathematics and Theoretical Computer Science AC 95-104. http://dmtcs.loria.fr/proceedings/
  • 13
    • 11144292619 scopus 로고    scopus 로고
    • The giant k-core of a random graph with a specified degree sequence
    • Manuscript
    • Fernholz, D. and Ramachandran, V. (2003) The giant k-core of a random graph with a specified degree sequence. Manuscript.
    • (2003)
    • Fernholz, D.1    Ramachandran, V.2
  • 14
    • 0002446794 scopus 로고
    • A lower bound for the critical probability in a certain percolation process
    • Harris, T. E. (1960) A lower bound for the critical probability in a certain percolation process. Proc. Cam. Philos. Soc. 56 13-20.
    • (1960) Proc. Cam. Philos. Soc , vol.56 , pp. 13-20
    • Harris, T.E.1
  • 15
    • 33846659833 scopus 로고    scopus 로고
    • A simple solution to the k-core problem
    • Janson, S. and Luczak, M. J. (2007) A simple solution to the k-core problem. Random Struct. Alg. 30 50-62.
    • (2007) Random Struct. Alg , vol.30 , pp. 50-62
    • Janson, S.1    Luczak, M.J.2
  • 16
    • 51249176440 scopus 로고
    • When are random graphs connected?
    • Kalikow, S. and Weiss, B. (1988) When are random graphs connected? Israel J. Math. 62 257-268.
    • (1988) Israel J. Math , vol.62 , pp. 257-268
    • Kalikow, S.1    Weiss, B.2
  • 18
    • 0040935488 scopus 로고
    • Families of non-disjoint subsets
    • Kleitman, D. J. (1966) Families of non-disjoint subsets, J. Combin. Theory 1 153-155.
    • (1966) J. Combin. Theory , vol.1 , pp. 153-155
    • Kleitman, D.J.1
  • 19
    • 24144432057 scopus 로고    scopus 로고
    • Cores in random hypergraphs and Boolean formulas
    • Molloy, M. (2005) Cores in random hypergraphs and Boolean formulas. Random Struct. Alg. 27 124-135.
    • (2005) Random Struct. Alg , vol.27 , pp. 124-135
    • Molloy, M.1
  • 20
    • 84990671447 scopus 로고
    • A critical point for random graphs with a given degree sequence
    • Molloy, M. and Reed, B. (1995) A critical point for random graphs with a given degree sequence. Random Struct. Alg. 6 161-179.
    • (1995) Random Struct. Alg , vol.6 , pp. 161-179
    • Molloy, M.1    Reed, B.2
  • 21
    • 0030144334 scopus 로고    scopus 로고
    • Sudden emergence of a giant k-core in a random graph
    • Pittel, B., Spencer, J. and Wormald, N. (1996) Sudden emergence of a giant k-core in a random graph. J. Combin. Theory Ser. B 67 111-151.
    • (1996) J. Combin. Theory Ser. B , vol.67 , pp. 111-151
    • Pittel, B.1    Spencer, J.2    Wormald, N.3
  • 22
    • 26844481982 scopus 로고    scopus 로고
    • The small giant component in scale-free random, graphs
    • Riordan, O. (2005) The small giant component in scale-free random, graphs. Combin. Probab. Comput. 14 897-938.
    • (2005) Combin. Probab. Comput , vol.14 , pp. 897-938
    • Riordan, O.1
  • 23
    • 41349085965 scopus 로고    scopus 로고
    • General formalism for inhomogeneous random graphs
    • Söderberg, B. (2002) General formalism for inhomogeneous random graphs. Phys. Rev. E 66 066121.
    • (2002) Phys. Rev. E , vol.66 , pp. 066121
    • Söderberg, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.