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Volumn 139, Issue 1, 2010, Pages 72-107

Diameters in preferential attachment models

Author keywords

Distances in random graphs; Preferential attachment models; Small world networks; Universality

Indexed keywords


EID: 77949570807     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-010-9921-z     Document Type: Article
Times cited : (76)

References (45)
  • 2
    • 0003129436 scopus 로고    scopus 로고
    • Random evolution in massive graphs
    • Massive Comput, Dordrecht: Kluwer Acad
    • Aiello, W., Chung, F., Lu, L.: Random evolution in massive graphs. In: Handbook of Massive Data Sets. Massive Comput., vol. 4, pp. 97-122. Kluwer Acad., Dordrecht (2002).
    • (2002) Handbook of Massive Data Sets , vol.4 , pp. 97-122
    • Aiello, W.1    Chung, F.2    Lu, L.3
  • 3
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Albert, R., Barabási, A.-L.: Statistical mechanics of complex networks. Rev. Mod. Phys. 74(1), 47-97 (2002).
    • (2002) Rev. Mod. Phys. , vol.74 , Issue.1 , pp. 47-97
    • Albert, R.1    Barabási, A.-L.2
  • 6
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • Barabási, A.-L., Albert, R.: Emergence of scaling in random networks. Science 286(5439), 509-512 (1999).
    • (1999) Science , vol.286 , Issue.5439 , pp. 509-512
    • Barabási, A.-L.1    Albert, R.2
  • 7
    • 35248850625 scopus 로고    scopus 로고
    • Degree distribution of the FKP network model
    • Lecture Notes in Comput. Sci, Berlin: Springer
    • Berger, N., Bollobás, B., Borgs, C., Chayes, J., Riordan, O.: Degree distribution of the FKP network model. In: Automata, Languages and Programming. Lecture Notes in Comput. Sci., vol. 2719, pp. 725-738. Springer, Berlin (2003).
    • (2003) Automata, Languages and Programming , vol.2719 , pp. 725-738
    • Berger, N.1    Bollobás, B.2    Borgs, C.3    Chayes, J.4    Riordan, O.5
  • 9
    • 0004219960 scopus 로고    scopus 로고
    • 2nd edn,Cambridge Studies in Advanced Mathematics, Cambridge: Cambridge University Press
    • Bollobás, B.: Random Graphs, 2nd edn. Cambridge Studies in Advanced Mathematics, vol. 73. Cambridge University Press, Cambridge (2001).
    • (2001) Random Graphs , vol.73
    • Bollobás, B.1
  • 10
    • 0742275434 scopus 로고    scopus 로고
    • Mathematical results on scale-free random graphs
    • Weinheim: Wiley
    • Bollobás, B., Riordan, O.: Mathematical results on scale-free random graphs. In: Handbook of Graphs and Networks, pp. 1-34. Wiley, Weinheim (2003).
    • (2003) Handbook of Graphs and Networks , pp. 1-34
    • Bollobás, B.1    Riordan, O.2
  • 11
    • 84906244198 scopus 로고    scopus 로고
    • Robustness and vulnerability of scale-free random graphs
    • Bollobás, B., Riordan, O.: Robustness and vulnerability of scale-free random graphs. Internet Math. 1(1), 1-35 (2003).
    • (2003) Internet Math. , vol.1 , Issue.1 , pp. 1-35
    • Bollobás, B.1    Riordan, O.2
  • 12
    • 84906214576 scopus 로고    scopus 로고
    • Coupling scale-free and classical random graphs
    • Bollobás, B., Riordan, O.: Coupling scale-free and classical random graphs. Internet Math. 1(2), 215-225 (2004).
    • (2004) Internet Math. , vol.1 , Issue.2 , pp. 215-225
    • Bollobás, B.1    Riordan, O.2
  • 13
    • 2542530739 scopus 로고    scopus 로고
    • The diameter of a scale-free random graph
    • Bollobás, B., Riordan, O.: The diameter of a scale-free random graph. Combinatorica 24(1), 5-34 (2004).
    • (2004) Combinatorica , vol.24 , Issue.1 , pp. 5-34
    • Bollobás, B.1    Riordan, O.2
  • 14
    • 42749108021 scopus 로고    scopus 로고
    • Shortest paths and load scaling in scale-free trees
    • 036114
    • Bollobás, B., Riordan, O.: Shortest paths and load scaling in scale-free trees. Phys. Rev. E. 69, 036114 (2004).
    • (2004) Phys. Rev. E. , vol.69
    • Bollobás, B.1    Riordan, O.2
  • 17
    • 34547688893 scopus 로고    scopus 로고
    • The phase transition in inhomogeneous random graphs
    • Bollobás, B., Janson, S., Riordan, O.: The phase transition in inhomogeneous random graphs. Random Struct. Algorithms 31(1), 3-122 (2007).
    • (2007) Random Struct. Algorithms , vol.31 , Issue.1 , pp. 3-122
    • Bollobás, B.1    Janson, S.2    Riordan, O.3
  • 18
    • 0037058980 scopus 로고    scopus 로고
    • The average distances in random graphs with given expected degrees
    • (electronic)
    • Chung, F., Lu, L.: The average distances in random graphs with given expected degrees. Proc. Natl. Acad. Sci. USA 99(25), 15879-15882 (2002) (electronic).
    • (2002) Proc. Natl. Acad. Sci. USA , vol.99 , Issue.25 , pp. 15879-15882
    • Chung, F.1    Lu, L.2
  • 19
    • 84906264352 scopus 로고    scopus 로고
    • The average distance in a random graph with given expected degrees
    • Chung, F., Lu, L.: 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
  • 20
    • 84906243778 scopus 로고    scopus 로고
    • Coupling online and offline analyses for random power law graphs
    • Chung, F., Lu, L.: Coupling online and offline analyses for random power law graphs. Internet Math. 1(4), 409-461 (2004).
    • (2004) Internet Math. , vol.1 , Issue.4 , pp. 409-461
    • Chung, F.1    Lu, L.2
  • 21
    • 85204059282 scopus 로고    scopus 로고
    • CBMS Regional Conference Series in Mathematics, Washington: Published for the Conference Board of the Mathematical Sciences
    • Chung, F., Lu, L.: Complex Graphs and Networks. CBMS Regional Conference Series in Mathematics, vol. 107. Published for the Conference Board of the Mathematical Sciences, Washington (2006).
    • (2006) Complex Graphs and Networks , vol.107
    • Chung, F.1    Lu, L.2
  • 22
    • 0037275663 scopus 로고    scopus 로고
    • A general model of web graphs
    • Cooper, C., Frieze, A.: A general model of web graphs. Random Struct. Algorithms 22(3), 311-335 (2003).
    • (2003) Random Struct. Algorithms , vol.22 , Issue.3 , pp. 311-335
    • Cooper, C.1    Frieze, A.2
  • 25
    • 84929729015 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • Durrett, R.: Random Graph Dynamics. Cambridge University Press, Cambridge (2007).
    • (2007) Random Graph Dynamics
    • Durrett, R.1
  • 28
    • 33746804093 scopus 로고    scopus 로고
    • Convergence properties of the degree distribution of some growing network models
    • Hagberg, O., Wiuf, C.: Convergence properties of the degree distribution of some growing network models. Bull. Math. Biol. 68, 1275-1291 (2006).
    • (2006) Bull. Math. Biol. , vol.68 , pp. 1275-1291
    • Hagberg, O.1    Wiuf, C.2
  • 29
    • 0003616602 scopus 로고    scopus 로고
    • Wiley-Interscience Series in Discrete Mathematics and Optimization, New York: Wiley
    • Janson, S., Łuczak, T., Ruciński, A.: Random Graphs. Wiley-Interscience Series in Discrete Mathematics and Optimization. Wiley, New York (2000).
    • (2000) Random Graphs
    • Janson, S.1    Łuczak, T.2    Ruciński, A.3
  • 30
    • 33748436203 scopus 로고    scopus 로고
    • The degree sequences and spectra of scale-free random graphs
    • Jordan, J.: The degree sequences and spectra of scale-free random graphs. Random Struct. Algorithms 29(2), 226-242 (2006).
    • (2006) Random Struct. Algorithms , vol.29 , Issue.2 , pp. 226-242
    • Jordan, J.1
  • 31
    • 4043080704 scopus 로고    scopus 로고
    • On random trees
    • Móri, T. F.: On random trees. Studia Sci. Math. Hungar. 39(1-2), 143-155 (2002).
    • (2002) Studia Sci. Math. Hungar. , vol.39 , Issue.1-2 , pp. 143-155
    • Móri, T.F.1
  • 32
    • 18844366707 scopus 로고    scopus 로고
    • The maximum degree of the Barabási-Albert random tree
    • Móri, T. F.: The maximum degree of the Barabási-Albert random tree. Comb. Probab. Comput. 14(3), 339-348 (2005).
    • (2005) Comb. Probab. Comput. , vol.14 , Issue.3 , pp. 339-348
    • Móri, T.F.1
  • 33
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • (electronic)
    • Newman, M. E. J.: The structure and function of complex networks. SIAM Rev. 45(2), 167-256 (2003) (electronic).
    • (2003) SIAM Rev. , vol.45 , Issue.2 , pp. 167-256
    • Newman, M.E.J.1
  • 34
    • 33646150930 scopus 로고    scopus 로고
    • On a conditionally Poissonian graph process
    • Norros, I., Reittu, H.: On a conditionally Poissonian graph process. Adv. Appl. Probab. 38(1), 59-75 (2006).
    • (2006) Adv. Appl. Probab. , vol.38 , Issue.1 , pp. 59-75
    • Norros, I.1    Reittu, H.2
  • 35
    • 50249104858 scopus 로고    scopus 로고
    • Connectivity transitions in networks with super-linear preferential attachment
    • Oliveira, R., Spencer, J.: Connectivity transitions in networks with super-linear preferential attachment. Internet Math. 2(2), 121-163 (2005).
    • (2005) Internet Math. , vol.2 , Issue.2 , pp. 121-163
    • Oliveira, R.1    Spencer, J.2
  • 36
    • 84990662431 scopus 로고
    • Note on the heights of random recursive trees and random m-ary search trees
    • Pittel, B.: Note on the heights of random recursive trees and random m-ary search trees. Random Struct. Algorithms 5(2), 337-347 (1994).
    • (1994) Random Struct. Algorithms , vol.5 , Issue.2 , pp. 337-347
    • Pittel, B.1
  • 37
    • 0242526824 scopus 로고    scopus 로고
    • On the power law random graph model of massive data networks
    • Reittu, H., Norros, I.: On the power law random graph model of massive data networks. Perform. Eval. 55(1-2), 3-23 (2004).
    • (2004) Perform. Eval. , vol.55 , Issue.1-2 , pp. 3-23
    • Reittu, H.1    Norros, I.2
  • 38
    • 34548534837 scopus 로고    scopus 로고
    • Random trees and general branching processes
    • Rudas, A., Tóth, B., Valkó, B.: Random trees and general branching processes. Random Struct. Algorithms 31(2), 186-202 (2007).
    • (2007) Random Struct. Algorithms , vol.31 , Issue.2 , pp. 186-202
    • Rudas, A.1    Tóth, B.2    Valkó, B.3
  • 40
    • 52149087216 scopus 로고    scopus 로고
    • Universality for the distance in finite variance random graphs
    • van den Esker, H., van der Hofstad, R., Hooghiemstra, G.: 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
  • 43
    • 34249731448 scopus 로고    scopus 로고
    • Distances in random graphs with finite mean and infinite variance degrees
    • (electronic)
    • van der Hofstad, R., Hooghiemstra, G., Znamenski, D.: Distances in random graphs with finite mean and infinite variance degrees. Electron. J. Probab. 12(25), 703-766 (2007) (electronic).
    • (2007) Electron. J. Probab. , vol.12 , Issue.25 , pp. 703-766
    • van der Hofstad, R.1    Hooghiemstra, G.2    Znamenski, D.3
  • 44
    • 77949570389 scopus 로고    scopus 로고
    • A phase transition for the diameter of the configuration model
    • van der Hofstad, R., Hooghiemstra, G., Znamenski, D.: A phase transition for the diameter of the configuration model. Internet Math. 4(1), 113-128 (2008).
    • (2008) Internet Math. , vol.4 , Issue.1 , pp. 113-128
    • van der Hofstad, R.1    Hooghiemstra, G.2    Znamenski, D.3


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