메뉴 건너뛰기




Volumn 15, Issue , 2010, Pages 1682-1702

Scaling limits for critical inhomogeneous random graphs with finite third moments

Author keywords

Brownian excursions; Critical random graphs; Inhomogeneous networks; Martingale techniques; Phase transitions; Size biased ordering

Indexed keywords


EID: 78649718778     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v15-817     Document Type: Article
Times cited : (76)

References (26)
  • 1
    • 0031483018 scopus 로고    scopus 로고
    • Brownian excursions, critical random graphs and the multiplicative coalescent
    • D. Aldous. Brownian excursions, critical random graphs and the multiplicative coalescent. Ann. Probab., 25(2):812-854, (1997).
    • (1997) Ann. Probab , vol.25 , Issue.2 , pp. 812-854
    • Aldous, D.1
  • 2
    • 0003300947 scopus 로고    scopus 로고
    • The entrance boundary of the multiplicative coalescent
    • D. Aldous and V Limic. The entrance boundary of the multiplicative coalescent. Electron. J. Probab, 3:1-59, 1998.
    • (1998) Electron. J. Probab , vol.3 , pp. 1-59
    • Aldous, D.1    Limic, V.2
  • 5
    • 11944253901 scopus 로고    scopus 로고
    • of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, second edition
    • B. Bollobas. Random graphs, volume 73 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, second edition, (2001).
    • (2001) Random Graphs , vol.73
    • Bollobas, B.1
  • 6
    • 34547688893 scopus 로고    scopus 로고
    • The phase transition in inhomogeneous random graphs
    • B. Bollobas, S. Janson, and O. Riordan. The phase transition in inhomogeneous random graphs. Random Structures Algorithms, 31(1):3-122, (2007).
    • (2007) Random Structures Algorithms , vol.31 , Issue.1 , pp. 3-122
    • Bollobas, B.1    Janson, S.2    Riordan, O.3
  • 7
    • 33750091606 scopus 로고    scopus 로고
    • Generating simple random graphs with prescribed degree distribution
    • T. Britton, M. Deijfen, and A. Martin-Lof. Generating simple random graphs with prescribed degree distribution. J. Stat. Phys., 124(6):1377-1397, (2006).
    • (2006) J. Stat. Phys , vol.124 , Issue.6 , pp. 1377-1397
    • Britton, T.1    Deijfen, M.2    Martin-Lof, A.3
  • 8
    • 0037058980 scopus 로고    scopus 로고
    • The average distances in random graphs with given expected degrees
    • (electronic)
    • F. Chung and L. Lu. The average distances in random graphs with given expected degrees. Proc. Natl. Acad. Sci. USA, 99(25):15879-15882 (electronic), (2002).
    • (2002) Proc. Natl. Acad. Sci. USA , vol.99 , Issue.25 , pp. 15879-15882
    • Chung, F.1    Lu, L.2
  • 9
    • 0038763983 scopus 로고    scopus 로고
    • Connected components in random graphs with given expected degree sequences
    • F. Chung and L. Lu. Connected components in random graphs with given expected degree sequences. Ann. Comb., 6(2):125-145, (2002).
    • (2002) Ann. Comb , vol.6 , Issue.2 , pp. 125-145
    • Chung, F.1    Lu, L.2
  • 10
    • 84906264352 scopus 로고    scopus 로고
    • The average distance in a random graph with given expected degrees
    • F. Chung and L. Lu. The average distance in a random graph with given expected degrees. Internet Math., 1(1):91-113, (2003).
    • (2003) Internet Math , vol.1 , Issue.1 , pp. 91-113
    • Chung, F.1    Lu, L.2
  • 11
    • 85037907128 scopus 로고    scopus 로고
    • of CBMS Regional Conference Series in Mathematics. Published for the Conference Board of the Mathematical Sciences, Washington, DC
    • F. Chung and L. Lu. Complex graphs and networks, volume 107 of CBMS Regional Conference Series in Mathematics. Published for the Conference Board of the Mathematical Sciences, Washington, DC, (2006).
    • (2006) Complex Graphs and Networks , vol.107
    • Chung, F.1    Lu, L.2
  • 12
    • 34249008722 scopus 로고    scopus 로고
    • The volume of the giant component of a random graph with given expected degrees
    • F. Chung and L. Lu. The volume of the giant component of a random graph with given expected degrees. SIAM J. Discrete Math., 20:395-411, (2006).
    • (2006) SIAM J. Discrete Math , vol.20 , pp. 395-411
    • Chung, F.1    Lu, L.2
  • 14
    • 52149087216 scopus 로고    scopus 로고
    • Universality for the distance in finite variance random graphs
    • H. van den Esker, R. van der Hofstad, and G. Hooghiemstra. Universality for the distance in finite variance random graphs. J. Stat. Phys., 133(1):169-202, (2008).
    • (2008) J. Stat. Phys , vol.133 , Issue.1 , pp. 169-202
    • Van Den Esker, H.1    Van Der Hofstad, R.2    Hooghiemstra, G.3
  • 15
    • 0003492844 scopus 로고
    • Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics, John Wiley & Sons Inc., New York
    • S. Ethier and T. Kurtz. Markov processes. Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. John Wiley & Sons Inc., New York, (1986).
    • (1986) Markov Processes
    • Ethier, S.1    Kurtz, T.2
  • 18
    • 70749107400 scopus 로고    scopus 로고
    • Asymptotic equivalence and contiguity of some random graphs
    • S. Janson. Asymptotic equivalence and contiguity of some random graphs. Random Structures Algorithms, 36: 26-45, (2010).
    • (2010) Random Structures Algorithms , vol.36 , pp. 26-45
    • Janson, S.1
  • 19
    • 0003616602 scopus 로고    scopus 로고
    • Wiley-Interscience Series in Discrete Mathematics and Optimization. Wiley-Interscience, New York
    • S. Janson, T. Euczak, and A. Rucinski. Random Graphs. Wiley-Interscience Series in Discrete Mathematics and Optimization. Wiley-Interscience, New York, (2000).
    • (2000) Random Graphs
    • Janson, S.1    Euczak, T.2    Rucinski, A.3
  • 21
    • 0032259304 scopus 로고    scopus 로고
    • The final size of a nearly critical epidemic, and the first passage time of a Wiener process to a parabolic barrier
    • A. Martin-Löf. The final size of a nearly critical epidemic, and the first passage time of a Wiener process to a parabolic barrier. J. Appl. Probab., 35(3):671-682, (1998).
    • (1998) J. Appl. Probab , vol.35 , Issue.3 , pp. 671-682
    • Martin-Löf, A.1
  • 22
    • 74349101469 scopus 로고    scopus 로고
    • Critical percolation on random regular graphs
    • A. Nachmias and Y. Peres. Critical percolation on random regular graphs. Random Structures and Algorithms, 36: 111-148, (2009).
    • (2009) Random Structures and Algorithms , vol.36 , pp. 111-148
    • Nachmias, A.1    Peres, Y.2
  • 23
    • 33646150930 scopus 로고    scopus 로고
    • On a conditionally Poissonian graph process
    • I. Norros and H. Reittu. On a conditionally Poissonian graph process. Adv. in Appl. Probab., 38(1):59-75, (2006).
    • (2006) Adv. In Appl. Probab , vol.38 , Issue.1 , pp. 59-75
    • Norros, I.1    Reittu, H.2
  • 24
    • 0035402347 scopus 로고    scopus 로고
    • On the largest component of the random graph at a nearcritical stage
    • B. Pittel. On the largest component of the random graph at a nearcritical stage. J. Combin. Theory Ser. B, 82(2):237-269, (2001).
    • (2001) J. Combin. Theory Ser. B , vol.82 , Issue.2 , pp. 237-269
    • Pittel, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.