메뉴 건너뛰기




Volumn 102, Issue 1, 2012, Pages 53-61

Asymptotic normality of the size of the giant component via a random walk

Author keywords

Giant component; Normal approximation; Random graphs; Random walk

Indexed keywords


EID: 81455141562     PISSN: 00958956     EISSN: 10960902     Source Type: Journal    
DOI: 10.1016/j.jctb.2011.04.003     Document Type: Article
Times cited : (32)

References (9)
  • 1
    • 0031483018 scopus 로고    scopus 로고
    • Brownian excursions, critical random graphs and the multiplicative coalescent
    • Aldous D. Brownian excursions, critical random graphs and the multiplicative coalescent. Ann. Probab. 1997, 25:812-854.
    • (1997) Ann. Probab. , vol.25 , pp. 812-854
    • Aldous, D.1
  • 2
    • 0000047875 scopus 로고
    • Martingale central limit theorems
    • Brown B.M. Martingale central limit theorems. Ann. Math. Stat. 1971, 42:59-66.
    • (1971) Ann. Math. Stat. , vol.42 , pp. 59-66
    • Brown, B.M.1
  • 3
    • 0003954462 scopus 로고
    • John Wiley and Sons/Chapman and Hall, New York/London
    • Doob J.L. Stochastic Processes 1953, John Wiley and Sons/Chapman and Hall, New York/London, viii+654 pp.
    • (1953) Stochastic Processes
    • Doob, J.L.1
  • 4
    • 84990713780 scopus 로고
    • The transitive closure of a random digraph
    • Karp R.M. The transitive closure of a random digraph. Random Structures Algorithms 1990, 1:73-93.
    • (1990) Random Structures Algorithms , vol.1 , pp. 73-93
    • Karp, R.M.1
  • 5
    • 0000618154 scopus 로고
    • Symmetric sampling procedures, general epidemic processes and their threshold limit theorems
    • Martin-Löf A. Symmetric sampling procedures, general epidemic processes and their threshold limit theorems. J. Appl. Probab. 1986, 23:265-282.
    • (1986) J. Appl. Probab. , vol.23 , pp. 265-282
    • Martin-Löf, A.1
  • 6
    • 74349088261 scopus 로고    scopus 로고
    • Component sizes of the random graph outside the scaling window
    • Nachmias A., Peres Y. Component sizes of the random graph outside the scaling window. ALEA Lat. Am. J. Probab. Math. Stat. 2007, 3:133-142.
    • (2007) ALEA Lat. Am. J. Probab. Math. Stat. , vol.3 , pp. 133-142
    • Nachmias, A.1    Peres, Y.2
  • 7
    • 84990635693 scopus 로고
    • On tree census and the giant component in sparse random graphs
    • Pittel B. On tree census and the giant component in sparse random graphs. Random Structures Algorithms 1990, 1:311-342.
    • (1990) Random Structures Algorithms , vol.1 , pp. 311-342
    • Pittel, B.1
  • 8


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.