메뉴 건너뛰기




Volumn 7, Issue 3, 2005, Pages 285-306

On the mean distance in scale free graphs

Author keywords

Mean distance; Scale free graphs

Indexed keywords


EID: 28044473396     PISSN: 13875841     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11009-005-4518-8     Document Type: Article
Times cited : (4)

References (36)
  • 2
    • 0035627527 scopus 로고    scopus 로고
    • "A random graph model for power law graphs"
    • W. Aiello, F. Chung, and L. Lu, "A random graph model for power law graphs," Experimental Mathematics vol. 10(1) pp. 53-66, 2001.
    • (2001) Experimental Mathematics , vol.10 , Issue.1 , pp. 53-66
    • Aiello, W.1    Chung, F.2    Lu, L.3
  • 3
    • 0003129436 scopus 로고    scopus 로고
    • Random evolution of massive graphs
    • J. Abello P. M. Pardalos and M. G. C. Resende (eds.) Kluwer Academic Dordrecht
    • W. Aiello F. Chung and L. Lu 2002 Random evolution of massive graphs In J. Abello P. M. Pardalos and M. G. C. Resende Handbook of Massive Data Sets Kluwer Academic Dordrecht pp. 97-122
    • (2002) Handbook of Massive Data Sets , pp. 97-122
    • Aiello, W.1    Chung, F.2    Lu, L.3
  • 4
    • 0038483826 scopus 로고    scopus 로고
    • "Emergence of scaling in random networks"
    • 10.1126/science.286.5439.509
    • R. Albert and A.-L. Barabási, "Emergence of scaling in random networks," Science vol. 286 pp. 509-512, 1999. 10.1126/ science.286.5439.509
    • (1999) Science , vol.286 , pp. 509-512
    • Albert, R.1    Barabási, A.-L.2
  • 5
    • 0036013593 scopus 로고    scopus 로고
    • "Statistical mechanics of complex networks"
    • 10.1103/RevModPhys.74.47
    • R. Albert and A.-L. Barabási, "Statistical mechanics of complex networks," Reviews of Modern Physics vol. 74 pp. 47-97, 2002. 10.1103/RevModPhys.74.47
    • (2002) Reviews of Modern Physics , vol.74 , pp. 47-97
    • Albert, R.1    Barabási, A.-L.2
  • 6
    • 24144495367 scopus 로고
    • "Some martingale methods in the limit theory of supercritical branching processes"
    • A. Joffe and P. Ney (eds.) Marcel Dekker New York
    • S. Asmussen 1978 Some martingale methods in the limit theory of supercritical branching processes In A. Joffe P. Ney (eds.) Branching Processes. Advances in Applied Probability 5 Marcel Dekker New York
    • (1978) Branching Processes. Advances in Applied Probability , vol.5
    • Asmussen, S.1
  • 8
    • 0004219960 scopus 로고    scopus 로고
    • 2nd edition, Academic Press
    • B. Bollobás, Random Graphs 2nd edition, Academic Press, 2001.
    • (2001) Random Graphs
    • Bollobás, B.1
  • 10
    • 0742275434 scopus 로고    scopus 로고
    • "Mathematical results on scale-free random graphs"
    • Wiley-VCH Weinheim
    • B. Bollobás and O. Riordan 2003b "Mathematical results on scale-free random graphs" Handbook of Graphs and Networks Wiley-VCH Weinheim pp. 1-34
    • (2003) Handbook of Graphs and Networks , pp. 1-34
    • Bollobás, B.1    Riordan, O.2
  • 12
    • 0035625228 scopus 로고    scopus 로고
    • "The degree sequence of a scale-free random graph process"
    • 10.1002/rsa.1009
    • B. Bollobás, O. Riordan, J. Spencer, and G. Tusnády, "The degree sequence of a scale-free random graph process, "Random Structures Algorithms, vol. 18 pp. 279-290, 2001. 10.1002/ rsa.1009
    • (2001) Random Structures Algorithms , vol.18 , pp. 279-290
    • Bollobás, B.1    Riordan, O.2    Spencer, J.3    Tusnády, G.4
  • 14
    • 0037058980 scopus 로고    scopus 로고
    • "The average distances in random graphs with given expected degrees"
    • 10.1073/pnas.252631999
    • F. Chung and L. Lu, "The average distances in random graphs with given expected degrees," PNAS vol. 99(25) pp. 15879-15882, 2002a. 10.1073/pnas.252631999
    • (2002) PNAS , vol.99 , Issue.25 , pp. 15879-15882
    • Chung, F.1    Lu, L.2
  • 15
    • 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," Annals of Combinatorics vol. 6 pp. 125-145, 2002b.
    • (2002) Annals of Combinatorics , vol.6 , pp. 125-145
    • Chung, F.1    Lu, L.2
  • 16
    • 0037275663 scopus 로고    scopus 로고
    • "A general model of web graphs"
    • 10.1002/rsa.10084
    • C. Cooper and A. A. Frieze, "A general model of web graphs," Random Structures Algorithms vol. 22(3) pp. 311-335, 2003. 10.1002/ rsa.10084
    • (2003) Random Structures Algorithms , vol.22 , Issue.3 , pp. 311-335
    • Cooper, C.1    Frieze, A.A.2
  • 17
    • 41349104020 scopus 로고    scopus 로고
    • "Pseudofractal scale-free web"
    • 10.1103/PhysRevE.65.066122
    • S. N. Dorogovtsev, A. V. Goltsev and J. F. F. Mendes, "Pseudofractal scale-free web," Physical review. E, vol. 65, pp. 66-122, 2002. 10.1103/PhysRevE.65.066122
    • (2002) Physical Review. E , vol.65 , pp. 66-122
    • Dorogovtsev, S.N.1    Goltsev, A.V.2    Mendes, J.F.F.3
  • 18
  • 19
    • 34250460165 scopus 로고
    • "La densité de la loi-limite d'un processus en cascade expansif"
    • 10.1007/BF00535833
    • M. S. Dubuc, "La densité de la loi-limite d'un processus en cascade expansif," Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete vol. 19 pp. 281-290, 1971. 10.1007/BF00535833
    • (1971) Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete , vol.19 , pp. 281-290
    • Dubuc, M.S.1
  • 23
    • 28044466645 scopus 로고    scopus 로고
    • "Distances in random graphs with finite mean and infinite variance degrees"
    • Preprint
    • R. van der Hofstad, G. Hooghiemstra and D. Znamenski, "Distances in random graphs with finite mean and infinite variance degrees," Preprint 2004a.
    • (2004)
    • van der Hofstad, R.1    Hooghiemstra, G.2    Znamenski, D.3
  • 28
    • 0003981320 scopus 로고
    • Van Nostrand, New York
    • M. Loève 1960 Probability Theory 2nd edition, Van Nostrand New York
    • (1960) Probability Theory , vol.2
    • Loève, M.1
  • 29
    • 84990671447 scopus 로고
    • "A critical point for random graphs with a given degree sequence"
    • M. Molloy and B. Reed, "A critical point for random graphs with a given degree sequence," Random Structures and Algorithms vol. 6 pp. 161-179, 1995.
    • (1995) Random Structures and Algorithms , vol.6 , pp. 161-179
    • Molloy, M.1    Reed, B.2
  • 30
    • 0032286776 scopus 로고    scopus 로고
    • "The size of the giant component of a random graph with a given degree sequence"
    • M. Molloy and B. Reed, "The size of the giant component of a random graph with a given degree sequence" Combinatorics, Probability and Computing vol. 7, pp. 295-305, 1998.
    • (1998) Combinatorics, Probability and Computing , vol.7 , pp. 295-305
    • Molloy, M.1    Reed, B.2
  • 31
    • 0038718854 scopus 로고    scopus 로고
    • "The structure and function of complex networks"
    • 10.1137/S003614450342480
    • M.E.J. Newman, "The structure and function of complex networks" SIAM Review vol. 45(2) pp. 167-256, 2003. 10.1137/ S003614450342480
    • (2003) SIAM Review , vol.45 , Issue.2 , pp. 167-256
    • Newman, M.E.J.1
  • 32
    • 0035420732 scopus 로고    scopus 로고
    • "Random graphs with arbitrary degree distribution and their application"
    • 026118
    • M. E. J. Newman, S. H. Strogatz, and D. J. Watts, "Random graphs with arbitrary degree distribution and their application," Physical Review. E vol. 64, 026118, pp. 1-17, 2001. 026118
    • (2001) Physical Review. E , vol.64 , pp. 1-17
    • Newman, M.E.J.1    Strogatz, S.H.2    Watts, D.J.3
  • 33
    • 25944437904 scopus 로고    scopus 로고
    • "Dynamical and correlation properties of the Internet"
    • 10.1103/PhysRevLett.87.258701
    • R. Pastor-Satorras, A. Vázquez and A. Vespignani, "Dynamical and correlation properties of the Internet," Physical Review Letters vol. 87 pp. 258-701, 2001. 10.1103/PhysRevLett.87.258701
    • (2001) Physical Review Letters , vol.87 , pp. 258-701
    • Pastor-Satorras, R.1    Vázquez, A.2    Vespignani, A.3
  • 34
    • 0242526824 scopus 로고    scopus 로고
    • "On the power law random graph model of massive data networks"
    • 10.1016/S0166-5316(03)00097-X
    • H. Reittu and I. Norros, "On the power law random graph model of massive data networks," Performance Evalution vol. 55(1-2) pp. 3-23, 2004. 10.1016/S0166-5316(03)00097-X
    • (2004) Performance Evalution , vol.55 , Issue.1-2 , pp. 3-23
    • Reittu, H.1    Norros, I.2
  • 35
    • 0141775686 scopus 로고    scopus 로고
    • "Network topology generators: Degree-based vs. structural"
    • Pennsylvania, USA Pittsburgh
    • H. Tangmunarunkit, R. Govindan, S. Jamin, S. Shenker, and W. Willinger, "Network topology generators: Degree-based vs. structural." ACM Sigcomm'02, Pittsburgh, Pennsylvania, pp. 19-23, USA, 2002.
    • (2002) ACM Sigcomm'02 , pp. 19-23
    • Tangmunarunkit, H.1    Govindan, R.2    Jamin, S.3    Shenker, S.4    Willinger, W.5
  • 36
    • 28044442922 scopus 로고    scopus 로고
    • "The limit random variable W of a branching process"
    • Submitted to Methodology and Computing in Applied Probability
    • P. Van Mieghem, "The limit random variable W of a branching process." Submitted to Methodology and Computing in Applied Probability, 2004.
    • (2004)
    • Van Mieghem, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.