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Volumn 24, Issue 1, 2004, Pages 5-34

The diameter of a scale-free random graph

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EID: 2542530739     PISSN: 02099683     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00493-004-0002-2     Document Type: Article
Times cited : (433)

References (29)
  • 1
    • 0033539175 scopus 로고    scopus 로고
    • Diameter of the world-wide web
    • R. ALBERT, H. JEONG and A.-L. BARABÁSI: Diameter of the world-wide web, Nature 401 (1999), 130-131.
    • (1999) Nature , vol.401 , pp. 130-131
    • Albert, R.1    Jeong, H.2    Barabási, A.-L.3
  • 2
    • 0034721164 scopus 로고    scopus 로고
    • Error and attack tolerance of complex networks
    • R. ALBERT, H. JEONG and 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
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • A.-L. BARABÁSI and 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
  • 4
    • 18744421488 scopus 로고    scopus 로고
    • Mean-field theory for scale-free random networks
    • A.-L. BARABÁSI, R. ALBERT and H. JEONG: Mean-field theory for scale-free random networks, Physica A 272 (1999), 173-187.
    • (1999) Physica A , vol.272 , pp. 173-187
    • Barabási, A.-L.1    Albert, R.2    Jeong, H.3
  • 5
    • 0342521525 scopus 로고    scopus 로고
    • Scale-free characteristics of random networks: The topology of the world-wide web
    • A.-L. BARABÁSI, R. ALBERT and H. JEONG: Scale-free characteristics of random networks: the topology of the world-wide web, Physica A 281 (2000), 69-77.
    • (2000) Physica A , vol.281 , pp. 69-77
    • Barabási, A.-L.1    Albert, R.2    Jeong, H.3
  • 6
    • 84968484198 scopus 로고
    • The diameter of random graphs
    • B. BOLLOBÁS: The diameter of random graphs, Trans. Amer. Math. Soc. 267 (1981), 41-52.
    • (1981) Trans. Amer. Math. Soc. , vol.267 , pp. 41-52
    • Bollobás, B.1
  • 7
    • 1642373920 scopus 로고    scopus 로고
    • Cambridge studies in advanced mathematics, Cambridge University Press, Cambridge
    • B. BOLLOBÁS: Random Graphs, Second Edition, Cambridge studies in advanced mathematics, vol. 73, Cambridge University Press, Cambridge, 2001, xviii + 498 pp.
    • (2001) Random Graphs, Second Edition , vol.73
    • Bollobás, B.1
  • 8
    • 0000062625 scopus 로고
    • The diameter of a cycle plus a random matching
    • B. BOLLOBÁS and F. R. K. CHUNG: The diameter of a cycle plus a random matching, SIAM J. Discrete Math. 1 (1988), 328-333.
    • (1988) SIAM J. Discrete Math. , vol.1 , pp. 328-333
    • Bollobás, B.1    Chung, F.R.K.2
  • 10
    • 51249184596 scopus 로고
    • Diameters of random bipartite graphs
    • B. BOLLOBÁS and V. KLEE: Diameters of random bipartite graphs, Combinatorica 4 (1984), 7-19.
    • (1984) Combinatorica , vol.4 , pp. 7-19
    • Bollobás, B.1    Klee, V.2
  • 11
    • 0034393876 scopus 로고    scopus 로고
    • Linearized chord diagrams and an upper bound for Vassiliev invariants
    • B. BOLLOBÁS and O. M. RIORDAN: Linearized chord diagrams and an upper bound for Vassiliev invariants, J. Knot Theory Ramifications 9 (2000), 847-853.
    • (2000) J. Knot Theory Ramifications , vol.9 , pp. 847-853
    • Bollobás, B.1    Riordan, O.M.2
  • 13
    • 2542549673 scopus 로고
    • Asymptotic estimates of the diameter and the independence and domination numbers of a random graph
    • JU. D. BURTIN: Asymptotic estimates of the diameter and the independence and domination numbers of a random graph, Dokl. Akad. Nauk SSSR 209 (1973), 765-768, translated in Soviet Math. Dokl. 14 (1973), 497-501.
    • (1973) Dokl. Akad. Nauk SSSR , vol.209 , pp. 765-768
    • Burtin, Ju.D.1
  • 14
    • 2542583122 scopus 로고
    • JU. D. BURTIN: Asymptotic estimates of the diameter and the independence and domination numbers of a random graph, Dokl. Akad. Nauk SSSR 209 (1973), 765-768, translated in Soviet Math. Dokl. 14 (1973), 497-501.
    • (1973) Soviet Math. Dokl. , vol.14 , pp. 497-501
  • 15
    • 0347407712 scopus 로고
    • Extremal metric characteristics of a random graph
    • JU. D. BURTIN: Extremal metric characteristics of a random graph. I, Teor. Verojatnost. i Primenen. 19 (1974), 740-754.
    • (1974) I, Teor. Verojatnost. I Primenen. , vol.19 , pp. 740-754
    • Burtin, Ju.D.1
  • 16
    • 0000182415 scopus 로고
    • A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations
    • H. CHERNOFF: A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations, Ann. Math. Statistics 23 (1952) 493-507.
    • (1952) Ann. Math. Statistics , vol.23 , pp. 493-507
    • Chernoff, H.1
  • 17
    • 0242337623 scopus 로고    scopus 로고
    • Branching processes and their applications in the analysis of tree structures and tree algorithms
    • Probabilistic methods for algorithmic discrete mathematics
    • L. DEVROYE: Branching processes and their applications in the analysis of tree structures and tree algorithms, in Probabilistic methods for algorithmic discrete mathematics, Algorithms Combin. 16 (1998), 249-314.
    • (1998) Algorithms Combin. , vol.16 , pp. 249-314
    • Devroye, L.1
  • 19
    • 0346146908 scopus 로고
    • Diameters of random graphs
    • V. KLEE and D. G. LARMAN: Diameters of random graphs, Canad. J. Math. 33 (1981), 618-640.
    • (1981) Canad. J. Math. , vol.33 , pp. 618-640
    • Klee, V.1    Larman, D.G.2
  • 21
    • 0004011678 scopus 로고    scopus 로고
    • The small-world phenomenon: An algorithmic perspective
    • October
    • J. KLEINBERG: The small-world phenomenon: an algorithmic perspective, Cornell Computer Science Technical Report 99-1776 (October 1999).
    • (1999) Cornell Computer Science Technical Report , vol.99 , Issue.1776
    • Kleinberg, J.1
  • 22
    • 84990634414 scopus 로고
    • On the structure of random plane-oriented recursive trees and their branches
    • H. M. MAHMOUD, R. T. SMYTHE and J. SZYMAŃSKI: On the structure of random plane-oriented recursive trees and their branches, Random Structures and Algorithms 4 (1993), 151-176.
    • (1993) Random Structures and Algorithms , vol.4 , pp. 151-176
    • Mahmoud, H.M.1    Smythe, R.T.2    Szymański, J.3
  • 24
    • 0035420732 scopus 로고    scopus 로고
    • Random graphs with arbitrary degree distribution and their applications
    • M. E. J. NEWMAN, S. H. STROGATZ and D. J. WATTS: Random graphs with arbitrary degree distribution and their applications, Physical Review E 64 (2001), 026118.
    • (2001) Physical Review E , vol.64 , pp. 026118
    • Newman, M.E.J.1    Strogatz, S.H.2    Watts, D.J.3
  • 25
    • 84990662431 scopus 로고
    • Note on the heights of random recursive trees and random m-ary search trees
    • B. PITTEL: Note on the heights of random recursive trees and random m-ary search trees, Random Structures and Algorithms 5 (1994), 337-347.
    • (1994) Random Structures and Algorithms , vol.5 , pp. 337-347
    • Pittel, B.1
  • 26
    • 0043253004 scopus 로고    scopus 로고
    • d
    • Random walks (Budapest, 1998)
    • d, in Random walks (Budapest, 1998), Bolyai Soc. Math. Stud. 9 (1999), 299-348.
    • (1999) Bolyai Soc. Math. Stud. , vol.9 , pp. 299-348
    • Révész, P.1
  • 27
    • 0032371155 scopus 로고    scopus 로고
    • Enumeration of chord diagrams and an upper bound for Vassiliev invariants
    • A. STOIMENOW: Enumeration of chord diagrams and an upper bound for Vassiliev invariants, J. Knot Theory Ramifications 7 (1998), 93-114.
    • (1998) J. Knot Theory Ramifications , vol.7 , pp. 93-114
    • Stoimenow, A.1
  • 28
    • 0040792724 scopus 로고
    • On a nonuniform random recursive tree
    • J. SZYMAŃSKI: On a nonuniform random recursive tree, Annals of Discrete Math. 33 (1987), 297-306.
    • (1987) Annals of Discrete Math. , vol.33 , pp. 297-306
    • Szymański, J.1
  • 29
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • D. J. WATTS and 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.