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Volumn 83, Issue 1, 2011, Pages

Spanning trees in a fractal scale-free lattice

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL PROCESS; FRACTALITY; RENORMALIZATION GROUP TECHNIQUE; SCALE FREE NETWORKS; SCALE-FREE; SELF-SIMILARITIES; SPANNING TREE; STRUCTURAL CHARACTERISTICS;

EID: 79951705659     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.016116     Document Type: Article
Times cited : (72)

References (52)
  • 1
    • 0037174670 scopus 로고    scopus 로고
    • Network motifs: Simple building blocks of complex networks
    • DOI 10.1126/science.298.5594.824
    • R. Milo, S. Shen-Orr, S. Itzkovitz, N. Kashtan, D. Chklovskii, and U. Alon, Science SCIEAS 0036-8075 10.1126/science.2 (Pubitemid 35231534)
    • (2002) Science , vol.298 , Issue.5594 , pp. 824-827
    • Milo, R.1    Shen-Orr, S.2    Itzkovitz, S.3    Kashtan, N.4    Chklovskii, D.5    Alon, U.6
  • 4
    • 74049087026 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/j.physrep.2009.11.002
    • S. Fortunato, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2009.11.002 486, 75 (2010).
    • (2010) Phys. Rep. , vol.486 , pp. 75
    • Fortunato, S.1
  • 5
    • 0142013808 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.90.078701
    • G. Bianconi and A. Capocci, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.078701 90, 078701 (2003).
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 078701
    • Bianconi, G.1    Capocci, A.2
  • 6
    • 33646868176 scopus 로고    scopus 로고
    • Emergence of large cliques in random scale-free networks
    • DOI 10.1209/epl/i2005-10574-3
    • G. Bianconi and M. Marsili, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10574-3 74, 740 (2006). (Pubitemid 43781231)
    • (2006) Europhysics Letters , vol.74 , Issue.4 , pp. 740-746
    • Bianconi, G.1    Marsili, M.2
  • 7
    • 84986472097 scopus 로고
    • EULEEJ 0364-9024 10.1002/jgt.3190100311
    • F. T. Boesch, J. Graph Theory EULEEJ 0364-9024 10.1002/jgt.3190100311 10, 339 (1986).
    • (1986) J. Graph Theory , vol.10 , pp. 339
    • Boesch, F.T.1
  • 8
    • 0344550311 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/j.physa.2003.08.031
    • G. J. Szabó, M. Alava, and J. Kertész, Physica A PHYADX 0378-4371 10.1016/j.physa.2003.08.031 330, 31 (2003).
    • (2003) Physica A , vol.330 , pp. 31
    • Szabó, G.J.1    Alava, M.2    Kertész, J.3
  • 10
    • 33745657432 scopus 로고    scopus 로고
    • Theoretical studies of self-organized criticality
    • DOI 10.1016/j.physa.2006.04.004, PII S0378437106004006
    • D. Dhar, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.04.004 369, 29 (2006). (Pubitemid 43975245)
    • (2006) Physica A: Statistical Mechanics and its Applications , vol.369 , Issue.1 , pp. 29-70
    • Dhar, D.1
  • 11
    • 0000568139 scopus 로고    scopus 로고
    • PHYADX 1539-3755 10.1103/PhysRevE.55.R2093
    • D. Dhar and A. Dhar, Phys. Rev. E PHYADX 1539-3755 10.1103/PhysRevE.55. R2093 55, 2093 (R) (1997).
    • (1997) Phys. Rev. e , vol.55 , pp. 2093
    • Dhar, D.1    Dhar, A.2
  • 16
    • 0042492825 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.54.235
    • F.-Y. Wu, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.54.235 54, 235 (1982).
    • (1982) Rev. Mod. Phys. , vol.54 , pp. 235
    • Wu, F.-Y.1
  • 17
    • 0037142552 scopus 로고    scopus 로고
    • IJPBEV 0217-9792 10.1142/S0217979202011676
    • F.-Y. Wu, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979202011676 16, 1951 (2002).
    • (2002) Int. J. Mod. Phys. B , vol.16 , pp. 1951
    • Wu, F.-Y.1
  • 18
    • 0035962947 scopus 로고    scopus 로고
    • Minimum spanning trees on random networks
    • DOI 10.1103/PhysRevLett.86.5076
    • R. Dobrin and P. M. Duxbury, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5076 86, 5076 (2001). (Pubitemid 32527747)
    • (2001) Physical Review Letters , vol.86 , Issue.22 , pp. 5076-5079
    • Dobrin, R.1    Duxbury, P.M.2
  • 20
    • 27344459447 scopus 로고    scopus 로고
    • Minimum spanning trees of weighted scale-free networks
    • DOI 10.1209/epl/i2005-10232-x
    • P. J. Macdonald, E. Almaas, and A.-L. Barabási, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10232-x 72, 308 (2005). (Pubitemid 41525291)
    • (2005) Europhysics Letters , vol.72 , Issue.2 , pp. 308-314
    • Macdonald, P.J.1    Almaas, E.2    Barabasi, A.-L.3
  • 21
    • 0000033790 scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/10/6/004
    • F.-Y. Wu, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/10/6/004 10, L113 (1977).
    • (1977) J. Phys. A , vol.10 , pp. 113
    • Wu, F.-Y.1
  • 22
    • 0034595456 scopus 로고    scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/33/21/303
    • R. Shrock and F.-Y. Wu, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/33/ 21/303 33, 3881 (2000).
    • (2000) J. Phys. A , vol.33 , pp. 3881
    • Shrock, R.1    Wu, F.-Y.2
  • 23
    • 33847185591 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1007/s10955-006-9262-0
    • S.-C. Chang, L.-C. Chen, and W.-S. Yang, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-006-9262-0 126, 649 (2007).
    • (2007) J. Stat. Phys. , vol.126 , pp. 649
    • Chang, S.-C.1    Chen, L.-C.2    Yang, W.-S.3
  • 25
    • 79951684651 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/90/68002
    • Z. Z. Zhang, H. X. Liu, B. Wu, and S. G. Zhou, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/90/68002 90, 68002 (2010).
    • (2010) Europhys. Lett. , vol.90 , pp. 68002
    • Zhang, Z.Z.1    Liu, H.X.2    Wu, B.3    Zhou, S.G.4
  • 26
    • 0038483826 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.286.5439.509
    • A.-L. Barabási and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
    • (1999) Science , vol.286 , pp. 509
    • Barabási, A.-L.1    Albert, R.2
  • 27
    • 13444263410 scopus 로고    scopus 로고
    • Self-similarity of complex networks
    • DOI 10.1038/nature03248
    • C. Song, S. Havlin, and H. A. Makse, Nature (London) NATUAS 0028-0836 10.1038/nature03248 433, 392 (2005). (Pubitemid 40203314)
    • (2005) Nature , vol.433 , Issue.7024 , pp. 392-395
    • Song, C.1    Havlin, S.2    Makse, H.A.3
  • 29
    • 33645780366 scopus 로고    scopus 로고
    • Origins of fractality in the growth of complex networks
    • DOI 10.1038/nphys266, PII N266
    • C. Song, S. Havlin, and H. A. Makse, Nat. Phys. NATUAS 1745-2473 10.1038/nphys266 2, 275 (2006). (Pubitemid 43553650)
    • (2006) Nature Physics , vol.2 , Issue.4 , pp. 275-281
    • Song, C.1    Havlin, S.2    Makse, H.A.3
  • 30
    • 32644456285 scopus 로고    scopus 로고
    • Skeleton and fractal scaling in complex networks
    • DOI 10.1103/PhysRevLett.96.018701
    • K. I. Goh, G. Salvi, B. Kahng, and D. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.018701 96, 018701 (2006). (Pubitemid 43248420)
    • (2006) Physical Review Letters , vol.96 , Issue.1 , pp. 018701
    • Goh, K.-I.1    Salvi, G.2    Kahng, B.3    Kim, D.4
  • 31
    • 0001250789 scopus 로고
    • PRLTAO 1098-0121 10.1103/PhysRevB.24.496
    • M. Kaufman and R. B. Griffiths, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.24.496 24, 496 (1981).
    • (1981) Phys. Rev. B , vol.24 , pp. 496
    • Kaufman, M.1    Griffiths, R.B.2
  • 32
    • 24844472982 scopus 로고
    • PRLTAO 1098-0121 10.1103/PhysRevB.26.5022
    • R. B. Griffiths and M. Kaufman, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.26.5022 26, 5022 (1982).
    • (1982) Phys. Rev. B , vol.26 , pp. 5022
    • Griffiths, R.B.1    Kaufman, M.2
  • 34
    • 0036013593 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.74.47
    • R. Albert and A.-L. Barabási, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 47
    • Albert, R.1    Barabási, A.-L.2
  • 35
    • 0038718854 scopus 로고    scopus 로고
    • SIREAD 0036-1445 10.1137/S003614450342480
    • M. E. J. Newman, SIAM Rev. SIREAD 0036-1445 10.1137/S003614450342480 45, 167 (2003).
    • (2003) SIAM Rev. , vol.45 , pp. 167
    • Newman, M.E.J.1
  • 36
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • DOI 10.1038/30918
    • D. J. Watts and H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/30918 393, 440 (1998). (Pubitemid 28292183)
    • (1998) Nature , vol.393 , Issue.6684 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 37
    • 84930064585 scopus 로고    scopus 로고
    • NATUAS 1539-3755 10.1103/PhysRevE.67.026112
    • E. Ravasz and A.-L. Barabási, Phys. Rev. E NATUAS 1539-3755 10.1103/PhysRevE.67.026112 67, 026112 (2003).
    • (2003) Phys. Rev. e , vol.67 , pp. 026112
    • Ravasz, E.1    Barabási, A.-L.2
  • 39
    • 33745669442 scopus 로고    scopus 로고
    • Inverted Berezinskii-Kosterlitz-Thouless singularity and high-temperature algebraic order in an Ising model on a scale-free hierarchical-lattice small-world network
    • DOI 10.1103/PhysRevE.73.066126
    • M. Hinczewski and A. N. Berker, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.73.066126 73, 066126 (2006). (Pubitemid 43974164)
    • (2006) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.73 , Issue.6 , pp. 066126
    • Hinczewski, M.1    Berker, A.N.2
  • 41
    • 35648950615 scopus 로고    scopus 로고
    • Scale-free distribution of avian influenza outbreaks
    • DOI 10.1103/PhysRevLett.99.188702
    • M. Small, D. M. Walker, and C. K. Tse, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.188702 99, 188702 (2007). (Pubitemid 350025408)
    • (2007) Physical Review Letters , vol.99 , Issue.18 , pp. 188702
    • Small, M.1    Walker, D.M.2    Tse, C.K.3
  • 43
    • 0034310033 scopus 로고    scopus 로고
    • Models of the Small World
    • DOI 10.1023/A:1026485807148
    • M. E. J. Newman, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1026485807148 101, 819 (2000). (Pubitemid 33214123)
    • (2000) Journal of Statistical Physics , vol.101 , Issue.3-4 , pp. 819-842
    • Newman, M.E.J.1
  • 44
    • 0001716571 scopus 로고
    • APBYAE 0091-1798 10.1214/aop/1176989121
    • R. Burton and R. Pemantle, Ann. Probab. APBYAE 0091-1798 10.1214/aop/1176989121 21, 1329 (1993).
    • (1993) Ann. Probab. , vol.21 , pp. 1329
    • Burton, R.1    Pemantle, R.2
  • 45
    • 23844524256 scopus 로고    scopus 로고
    • Asymptotic enumeration of spanning trees
    • DOI 10.1017/S096354830500684X
    • R. Lyons, Combin. Probab. Comput. APBYAE 0963-5483 10.1017/ S096354830500684X 14, 491 (2005). (Pubitemid 41165660)
    • (2005) Combinatorics Probability and Computing , vol.14 , Issue.4 , pp. 491-522
    • Lyons, R.1
  • 46
    • 34248165048 scopus 로고    scopus 로고
    • Self-similarity, small-world, scale-free scaling, disassortativity, and robustness in hierarchical lattices
    • DOI 10.1140/epjb/e2007-00107-6
    • Z. Z. Zhang, S. G. Zhou, and T. Zou, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2007-00107-6 56, 259 (2007). (Pubitemid 46707717)
    • (2007) European Physical Journal B , vol.56 , Issue.3 , pp. 259-271
    • Zhang, Z.-Z.1    Zhou, S.-G.2    Zou, T.3
  • 47
    • 34547240742 scopus 로고    scopus 로고
    • Fractal and transfractal recursive scale-free nets
    • DOI 10.1088/1367-2630/9/6/175, PII S1367263007391520
    • H. D. Rozenfeld, S. Havlin, and D. ben-Avraham, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/6/175 9, 175 (2007). (Pubitemid 47146380)
    • (2007) New Journal of Physics , vol.9 , pp. 175
    • Rozenfeld, H.D.1    Havlin, S.2    Ben-Avraham, D.3
  • 48
    • 0004242420 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • N. L. Biggs, Algebraic Graph Theory, 2nd ed. (Cambridge University Press, Cambridge, UK, 1993).
    • (1993) Algebraic Graph Theory
    • Biggs, N.L.1
  • 49
    • 33745311570 scopus 로고    scopus 로고
    • Fields, trees, and forests
    • DOI 10.1088/1742-6596/42/1/014, 014
    • J. L. Jacobsen, J. Phys.: Conf. Ser. NJOPFM 1742-6588 10.1088/1742-6596/42/1/014 42, 138 (2006). (Pubitemid 43932369)
    • (2006) Journal of Physics: Conference Series , vol.42 , Issue.1 , pp. 138-146
    • Jacobsen, J.L.1
  • 50
    • 0000113399 scopus 로고
    • PHYSAG 0031-8914 10.1016/0031-8914(61)90063-5
    • P. W. Kasteleyn, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(61)90063-5 27, 1209 (1961).
    • (1961) Physica (Amsterdam) , vol.27 , pp. 1209
    • Kasteleyn, P.W.1


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