메뉴 건너뛰기




Volumn 155, Issue 1, 2014, Pages 72-92

Bootstrap Percolation in Power-Law Random Graphs

Author keywords

Bootstrap percolation; Power law random graph; Sharp threshold

Indexed keywords


EID: 84897028353     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-014-0946-6     Document Type: Article
Times cited : (66)

References (31)
  • 1
    • 0345491987 scopus 로고    scopus 로고
    • Bootstrap percolation: visualizations and applications
    • Adler, J., Lev, U.: Bootstrap percolation: visualizations and applications. Braz. J. Phys. 33(3), 641-644 (2003).
    • (2003) Braz. J. Phys. , vol.33 , Issue.3 , pp. 641-644
    • Adler, J.1    Lev, U.2
  • 2
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Albert, R., Barabási, A.: 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.2
  • 3
    • 77955591135 scopus 로고    scopus 로고
    • Bootstrap percolation and diffusion in random graphs with given vertex degrees
    • Amini, H.: Bootstrap percolation and diffusion in random graphs with given vertex degrees. Electron. J. Combin. 17, R25 (2010).
    • (2010) Electron. J. Combin. , vol.17
    • Amini, H.1
  • 4
    • 77958075938 scopus 로고    scopus 로고
    • Bootstrap percolation in living neural networks
    • Amini, H.: Bootstrap percolation in living neural networks. J. Stat. Phys. 141, 459-475 (2010).
    • (2010) J. Stat. Phys. , vol.141 , pp. 459-475
    • Amini, H.1
  • 5
    • 32044473744 scopus 로고    scopus 로고
    • Bootstrap percolation on the hypercube
    • Balogh, J., Bollobás, B.: Bootstrap percolation on the hypercube. Probab. theory relat. field 134(4), 624-648 (2006).
    • (2006) Probab. Theory Relat. Field , vol.134 , Issue.4 , pp. 624-648
    • Balogh, J.1    Bollobás, B.2
  • 6
    • 33846696533 scopus 로고    scopus 로고
    • Bootstrap percolation on the random regular graph
    • Balogh, J., Pittel, B. G.: Bootstrap percolation on the random regular graph. Random Struct. Algor. 30(1-2), 257-286 (2007).
    • (2007) Random Struct. Algor. , vol.30 , Issue.1-2 , pp. 257-286
    • Balogh, J.1    Pittel, B.G.2
  • 7
    • 33746601162 scopus 로고    scopus 로고
    • Bootstrap percolation on infinite trees and non-amenable groups
    • Balogh, J., Peres, Y., Pete, G.: Bootstrap percolation on infinite trees and non-amenable groups. Comb. Probab. Comput. 15(5), 715-730 (2006).
    • (2006) Comb. Probab. Comput. , vol.15 , Issue.5 , pp. 715-730
    • Balogh, J.1    Peres, Y.2    Pete, G.3
  • 8
    • 69249205488 scopus 로고    scopus 로고
    • Bootstrap percolation in three dimensions
    • Balogh, J., Bollobás, B., Morris, R.: Bootstrap percolation in three dimensions. Ann. Prob. 37, 1329-1380 (2009).
    • (2009) Ann. Prob. , vol.37 , pp. 1329-1380
    • Balogh, J.1    Bollobás, B.2    Morris, R.3
  • 11
    • 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. Algor. 31(1), 3-122 (2007).
    • (2007) Random Struct. Algor. , vol.31 , Issue.1 , pp. 3-122
    • Bollobás, B.1    Janson, S.2    Riordan, O.3
  • 12
    • 0345617387 scopus 로고    scopus 로고
    • The threshold regime of finite volume bootstrap percolation
    • Cerf, R., Manzo, F.: The threshold regime of finite volume bootstrap percolation. Stoch. Process Appl. 101(1), 69-82 (2002).
    • (2002) Stoch. Process Appl. , vol.101 , Issue.1 , pp. 69-82
    • Cerf, R.1    Manzo, F.2
  • 13
    • 0002092533 scopus 로고
    • Bootstrap percolation on a Bethe lattice
    • Chalupa, J., Leath, P. L., Reich, G. R.: Bootstrap percolation on a Bethe lattice. J. Phys. C 12, L31-L35 (1979).
    • (1979) J. Phys. C , vol.12
    • Chalupa, J.1    Leath, P.L.2    Reich, G.R.3
  • 14
    • 0038763983 scopus 로고    scopus 로고
    • Connected components in random graphs with given expected degree sequences
    • Chung, F., Lu, L.: Connected components in random graphs with given expected degree sequences. Ann. Comb. 6, 125-145 (2002).
    • (2002) Ann. Comb. , vol.6 , pp. 125-145
    • Chung, F.1    Lu, L.2
  • 15
    • 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
  • 16
    • 84906213610 scopus 로고    scopus 로고
    • The spectra of random graphs with given expected degrees
    • Chung, F., Lu, L., Vu, V.: The spectra of random graphs with given expected degrees. Internet Math. 1(3), 257-275 (2004).
    • (2004) Internet Math. , vol.1 , Issue.3 , pp. 257-275
    • Chung, F.1    Lu, L.2    Vu, V.3
  • 18
    • 50149101274 scopus 로고    scopus 로고
    • Bootstrap percolation on homogeneous trees has 2 phase transitions
    • Fontes, L., Schonmann, R.: Bootstrap percolation on homogeneous trees has 2 phase transitions. J. Stat. Phys. 132, 839-861 (2008).
    • (2008) J. Stat. Phys. , vol.132 , pp. 839-861
    • Fontes, L.1    Schonmann, R.2
  • 19
    • 0036022801 scopus 로고    scopus 로고
    • Stretched exponential fixation in stochastic Ising models at zero temperature
    • Fontes, L. R., Schonmann, R. H., Sidoravicius, V.: Stretched exponential fixation in stochastic Ising models at zero temperature. Comm. Math. Phys. 228, 495-518 (2002).
    • (2002) Comm. Math. Phys. , vol.228 , pp. 495-518
    • Fontes, L.R.1    Schonmann, R.H.2    Sidoravicius, V.3
  • 20
    • 0001510996 scopus 로고
    • Random graphs
    • Gilbert, E. N.: Random graphs. Ann. Math. Stat. 30, 1141-1144 (1959).
    • (1959) Ann. Math. Stat. , vol.30 , pp. 1141-1144
    • Gilbert, E.N.1
  • 21
    • 0038270639 scopus 로고    scopus 로고
    • Sharp metastability threshold for two-dimensional bootstrap percolation
    • Holroyd, A. E.: Sharp metastability threshold for two-dimensional bootstrap percolation. Prob. Theory Rel. Fields 125(2), 195-224 (2003).
    • (2003) Prob. Theory Rel. Fields , vol.125 , Issue.2 , pp. 195-224
    • Holroyd, A.E.1
  • 22
    • 0003616602 scopus 로고    scopus 로고
    • Discrete Mathematics and Optimization, New York: Wiley-Interscience
    • Janson, S., Łuczak, T., Ruciński, A.: Random graphs. Discrete Mathematics and Optimization. Wiley-Interscience, New York (2000).
    • (2000) Random Graphs
    • Janson, S.1    Łuczak, T.2    Ruciński, A.3
  • 24
    • 0034609791 scopus 로고    scopus 로고
    • The large-scale organization of metabolic networks
    • Jeong, H., Tombor, B., Albert, R., Oltvai, Z. N., Barabasi, A. L.: The large-scale organization of metabolic networks. Nature 407(6804), 651-654 (2000).
    • (2000) Nature , vol.407 , Issue.6804 , pp. 651-654
    • Jeong, H.1    Tombor, B.2    Albert, R.3    Oltvai, Z.N.4    Barabasi, A.L.5
  • 26
    • 0037071275 scopus 로고    scopus 로고
    • Hysteresis in the random-field Ising model and bootstrap percolation
    • Sabhapandit, S., Dhar, D., Shukla, P.: Hysteresis in the random-field Ising model and bootstrap percolation. Phys. Rev. Lett. 88(19), 197202 (2002).
    • (2002) Phys. Rev. Lett. , vol.88 , Issue.19 , pp. 197202
    • Sabhapandit, S.1    Dhar, D.2    Shukla, P.3
  • 27
    • 77249106444 scopus 로고    scopus 로고
    • Bootstrap percolation and kinetically constrained models on hyperbolic lattices
    • Sausset, F., Toninelli, C., Biroli, G., Tarjus, G.: Bootstrap percolation and kinetically constrained models on hyperbolic lattices. J. Stat. Phys. 138, 411-430 (2010).
    • (2010) J. Stat. Phys , vol.138 , pp. 411-430
    • Sausset, F.1    Toninelli, C.2    Biroli, G.3    Tarjus, G.4
  • 28
    • 41349085965 scopus 로고    scopus 로고
    • General formalism for inhomogeneous random graphs
    • Söderberg, B.: General formalism for inhomogeneous random graphs. Phys. Rev. E 66, 066121 (2002).
    • (2002) Phys. Rev. E , vol.66 , pp. 066121
    • Söderberg, B.1
  • 29
    • 67650930104 scopus 로고    scopus 로고
    • Remarks on bootstrap percolation in metric networks
    • Tlusty, T., Eckmann, J. P.: Remarks on bootstrap percolation in metric networks. J. Phys. A 42, 205004 (2009).
    • (2009) J. Phys. A , vol.42 , pp. 205004
    • Tlusty, T.1    Eckmann, J.P.2
  • 30
    • 32644481956 scopus 로고    scopus 로고
    • Jamming percolation and glass transitions in lattice models
    • Toninelli, C., Biroli, G., Fisher, D. S.: Jamming percolation and glass transitions in lattice models. Phys. Rev. Lett. 96(3), 035702 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , Issue.3 , pp. 035702
    • Toninelli, C.1    Biroli, G.2    Fisher, D.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.