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Statistical mechanics of complex networks. (English) Zbl 1205.82086
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82B43 Percolation
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References:
[1] Adamic, L. A., Nature (London) 401 pp 131– (1999)
[2] Adamic, L. A., Science 287 pp 2115– (2000)
[3] Adamic, L. A., Phys. Rev. E 64 pp 046135– (2001)
[4] Albert, R., Phys. Rev. Lett. 85 pp 5234– (2000)
[5] Albert, R., Nature (London) 401 pp 130– (1999)
[6] Albert, R., Nature (London) 406 pp 378– (2000)
[7] Albert, R., Nature (London) 409 pp 542– (2001)
[8] Aldous, D., Bernoulli 5 pp 3– (1999) · Zbl 0930.60096
[9] Amaral, L. A. N., Proc. Natl. Acad. Sci. U.S.A. 97 pp 11– (2000)
[10] Ambjorn, J., Phys. Lett. B 244 pp 403– (1990)
[11] Argollo de Menezes, M., Europhys. Lett. 50 pp 574– (2000)
[12] Banavar, J. R., Phys. Rev. Lett. 78 pp 4522– (1997)
[13] Banavar, J. R., Phys. Rev. Lett. 84 pp 4745– (2000)
[14] Banavar, J. R., Nature (London) 399 pp 130– (1999)
[15] Barabási, A.-L., Science 286 pp 509– (1999) · Zbl 1226.05223
[16] Barabási, A.-L., Physica A 272 pp 173– (1999)
[17] Barrat, A., Eur. Phys. J. B 13 pp 547– (2000)
[18] Barthélémy, M., Phys. Rev. Lett. 82 pp 3180– (1999)
[19] Barthélémy, M., Phys. Rev. Lett. 82 pp 5180–
[20] Bianconi, G., Int. J. Mod. Phys. B 14 pp 3356– (2000)
[21] Bianconi, G., Int. J. Mod. Phys. B 15 pp 313– (2001)
[22] Bianconi, G., Europhys. Lett. 54 pp 436– (2001)
[23] Bianconi, G., Phys. Rev. Lett. 86 pp 5632– (2001)
[24] Bilke, S., Phys. Rev. E 64 pp 036106– (2001)
[25] Bollobás, B., Discrete Math. 33 pp 1– (1981) · Zbl 0447.05038
[26] Bollobás, B., Trans. Am. Math. Soc. 286 pp 257– (1984) · Zbl 0579.05046
[27] Bornholdt, S., Phys. Rev. E 64 pp 035104– (2001)
[28] Bornholdt, S., Proc. R. Soc. London, Ser. B 267 pp 2281– (2000)
[29] Broder, A., Comput. Netw. 33 pp 309– (2000)
[30] Burda, Z., Phys. Rev. E 64 pp 046118– (2001)
[31] Burton, R. M., Commun. Math. Phys. 121 pp 501– (1989) · Zbl 0662.60113
[32] Caldarelli, G., Europhys. Lett. 52 pp 386– (2000)
[33] Callaway, D. S., Phys. Rev. E 64 pp 041902– (2001)
[34] Callaway, D. S., Phys. Rev. Lett. 85 pp 5468– (2000)
[35] Carlson, J. M., Phys. Rev. E 60 pp 1412– (1999)
[36] Carlson, J. M., Phys. Rev. Lett. 84 pp 2529– (2000)
[37] Christensen, K., Phys. Rev. Lett. 81 pp 2380– (1998)
[38] Chung, F., Adv. Appl. Math. 26 pp 257– (2001) · Zbl 0977.05127
[39] Cohen, J. E., Discrete Appl. Math. 19 pp 113– (1988) · Zbl 0633.05065
[40] Cohen, R., Phys. Rev. Lett. 85 pp 4626– (2000)
[41] Cohen, R., Phys. Rev. Lett. 86 pp 3682– (2001)
[42] Coleman, J. S., Sociometry 20 pp 253– (1957)
[43] Comellas, F., Inf. Process. Lett. 76 pp 83– (2000) · Zbl 1338.68012
[44] Crovella, M. E., IEEE/ACM Trans. Netw. 5 pp 835– (1997)
[45] Derrida, B., J. Phys. A 15 pp L557– (1982)
[46] Dodds, P. S., Annu. Rev. Earth Planet Sci. 28 pp 571– (2000)
[47] Dodds, P. S., Phys. Rev. E 63 pp 016115– (2001)
[48] Dodds, P. S., Phys. Rev. E 63 pp 016116– (2001)
[49] Dodds, P. S., Phys. Rev. E 63 pp 016117– (2001)
[50] Dorogovtsev, S. N., Europhys. Lett. 50 pp 1– (2000)
[51] Dorogovtsev, S. N., Phys. Rev. E 62 pp 1842– (2000)
[52] Dorogovtsev, S. N., Europhys. Lett. 52 pp 33– (2000)
[53] Dorogovtsev, S. N., Phys. Rev. E 63 pp 025101– (2001)
[54] Dorogovtsev, S. N., Phys. Rev. E 63 pp 056125– (2001)
[55] Dorogovtsev, S. N., Proc. R. Soc. London Ser. B 268 pp 2603– (2001)
[56] Dorogovtsev, S. N., Phys. Rev. Lett. 85 pp 4633– (2000)
[57] Dorogovtsev, S. N., Phys. Rev. E 63 pp 056125– (2001)
[58] Dorogovtsev, S. N., Phys. Rev. E 64 pp R025101– (2001)
[59] Doyle, J., Phys. Rev. Lett. 84 pp 5656– (2000)
[60] Durrett, R. T., Z. Wahrscheinlichkeitstheor. Verwandte Geb. 69 pp 421– (1985) · Zbl 0548.60099
[61] Duxbury, P. M., Phys. Rev. B 51 pp 3476– (1995)
[62] Elowitz, M. B., Nature (London) 403 pp 335– (2000)
[63] Enquist, B. J., Nature (London) 395 pp 163– (1998)
[64] Enquist, B. J., Nature (London) 401 pp 907– (1999)
[65] Erdos, P., Publ. Math. (Debrecen) 6 pp 290– (1959)
[66] Erdos, P., Publ. Math. Inst. Hung. Acad. Sci. 5 pp 17– (1960)
[67] Erdos, P., Bull. Inst. Int. Stat. 38 pp 343– (1961)
[68] Faloutsos, M., Comput. Commun. Rev. 29 pp 251– (1999)
[69] Farkas, I. J., Phys. Rev. E 64 pp 026704– (2001)
[70] Fell, D. A., Nat. Biotechnol. 18 pp 1121– (2000)
[71] Gardner, T. S., Nature (London) 403 pp 520– (2000)
[72] Gleiss, P. M., Adv. Complex Syst. 4 pp 207– (2001) · Zbl 1028.05108
[73] Goh, K.-I., Phys. Rev. E 64 pp 051903– (2001)
[74] Granovetter, M. S., Am. J. Sociol. 78 pp 1360– (1973)
[75] Guhr, T., Phys. Rep. 299 pp 189– (1998)
[76] Guimerà, R., Physica A 299 pp 247– (2001) · Zbl 0978.94001
[77] Hammersley, J. M., Ann. Math. Stat. 28 pp 790– (1957) · Zbl 0091.13903
[78] Hara, T., Commun. Math. Phys. 128 pp 333– (1990) · Zbl 0698.60100
[79] Hartwell, L. H., Nature (London) 402 pp C47– (1999)
[80] Havlin, S., J. Phys. A 17 pp L427– (1984)
[81] Hohenberg, P. C., Rev. Mod. Phys. 49 pp 435– (1977)
[82] Hubermann, B. A., Science 280 pp 95– (1998)
[83] Jain, S., Proc. Natl. Acad. Sci. U.S.A. 98 pp 543– (2001)
[84] Jeong, H., Nature (London) 411 pp 41– (2001)
[85] Jeong, H., Nature (London) 407 pp 651– (2000)
[86] Jespersen, S., Phys. Rev. E 62 pp 6270– (2000)
[87] Johansen, A., Physica A 276 pp 338– (2000)
[88] Keeling, M. J., Proc. R. Soc. London, Ser. B 266 pp 859– (1999)
[89] Kleinberg, J. M., Nature (London) 406 pp 845– (2000)
[90] Kolchin, V. F., Theor. Probab. Appl. 31 pp 439– (1986) · Zbl 0616.60013
[91] Krapivsky, P. L., Phys. Rev. E 63 pp 066123– (2001)
[92] Krapivsky, P. L., Phys. Rev. Lett. 85 pp 4629– (2000)
[93] Krapivsky, P. L., Phys. Rev. Lett. 86 pp 5401– (2001)
[94] Kulkarni, R. V., Phys. Rev. E 61 pp 4268– (2000)
[95] Kullmann, L., Phys. Rev. E 63 pp 051112– (2001)
[96] Kuperman, M., Phys. Rev. Lett. 86 pp 2909– (2001)
[97] Lago-Fernández, L. F., Phys. Rev. Lett. 84 pp 2758– (2000)
[98] Lässig, M., Phys. Rev. Lett. 86 pp 4418– (2001)
[99] Lawrence, S., Science 280 pp 98– (1998)
[100] Lawrence, S., Nature (London) 400 pp 107– (1999)
[101] Leath, P. L., Phys. Rev. B 14 pp 5064– (1976)
[102] Liljeros, F., Nature (London) 411 pp 907– (2001)
[103] Lotka, A. J., J. Wash. Acad. Sci. 16 pp 317– (1926)
[104] Luczak, T., Random Struct. Algorithms 1 pp 287– (1990) · Zbl 0745.05048
[105] Margulis, G. A., Probl. Inf. Transm. 10 pp 101– (1974)
[106] Medina, A., Comput. Commun. Rev. 30 pp 18– (2000) · Zbl 05745331
[107] Milgram, S., Psychol. Today 1 pp 60– (1967)
[108] Molloy, M., Random Struct. Algorithms 6 pp 161– (1995)
[109] Molloy, M., Combinatorics, Probab. Comput. 7 pp 295– (1998) · Zbl 0916.05064
[110] Monasson, R., Eur. Phys. J. B 12 pp 555– (2000)
[111] Moore, C., Phys. Rev. E 61 pp 5678– (2000)
[112] Moore, C., Phys. Rev. E 62 pp 7059– (2000)
[113] Moore, E. F., J. Franklin Inst. 262 pp 201– (1956)
[114] Moore, E. F., J. Franklin Inst. 262 pp 281– (1956)
[115] Moukarzel, C., Phys. Rev. E 60 pp R6263– (1999) · Zbl 1062.82507
[116] Newman, M. E. J., J. Stat. Phys. 101 pp 819– (2000) · Zbl 1049.82520
[117] Newman, M. E. J., Proc. Natl. Acad. Sci. U.S.A. 98 pp 404– (2001)
[118] Newman, M. E. J., Phys. Rev. E 64 pp 016131– (2001)
[119] Newman, M. E. J., Phys. Rev. E 64 pp 016132– (2001)
[120] Newman, M. E. J., Phys. Rev. E 64 pp 025102– (2001)
[121] Newman, M. E. J., Phys. Rev. Lett. 84 pp 3201– (2000)
[122] Newman, M. E. J., Phys. Lett. A 263 pp 341– (1999) · Zbl 0940.82029
[123] Newman, M. E. J., Phys. Rev. E 60 pp 7332– (1999)
[124] Newman, M. E. J., Phys. Rev. E 64 pp 026118– (2001)
[125] Pandit, S. A., Phys. Rev. E 60 pp R1119– (1999)
[126] Pastor-Satorras, R., Phys. Rev. Lett. 86 pp 3200– (2001)
[127] Rapoport, A., Bull. Math. Biophys. 19 pp 257– (1957)
[128] Redner, S., Eur. Phys. J. B 4 pp 131– (1998)
[129] Savageau, M. A., BioSystems 47 pp 9– (1998)
[130] Scala, A., Europhys. Lett. 55 pp 594– (2000)
[131] Schilling, C. H., Proc. Natl. Acad. Sci. U.S.A. 95 pp 4193– (1998)
[132] Simon, H. A., Biometrika 42 pp 425– (1955)
[133] Slanina, F., Phys. Rev. Lett. 83 pp 5587– (1999)
[134] Slanina, F., Phys. Rev. E 62 pp 6170– (2000)
[135] Solé, R. V., Proc. R. Soc. London Ser. B 268 pp 2039– (2001)
[136] Solé, R. V., Physica A 289 pp 595– (2001) · Zbl 0971.68500
[137] Solomonoff, R., Bull. Math. Biophys. 13 pp 107– (1951)
[138] Strogatz, S. H., Nature (London) 410 pp 268– (2001) · Zbl 1370.90052
[139] Tadić, B., Physica A 293 pp 273– (2001) · Zbl 0978.68108
[140] Vogelstein, B., Nature (London) 408 pp 307– (2000)
[141] Watts, D. J., Nature (London) 393 pp 440– (1998) · Zbl 1368.05139
[142] Weigt, M., Phys. Rev. Lett. 86 pp 1658– (2001)
[143] West, G. B., Science 276 pp 122– (1997)
[144] Wigner, E. P., Ann. Math. 62 pp 548– (1955) · Zbl 0067.08403
[145] Wigner, E. P., Ann. Math. 65 pp 203– (1957) · Zbl 0077.31901
[146] Wigner, E. P., Ann. Math. 67 pp 325– (1958) · Zbl 0085.13203
[147] Willinger, W., IEEE/ACM Trans. Netw. 5 pp 71– (1997)
[148] Yook, S., Phys. Rev. Lett. 86 pp 5835– (2001)
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