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In this paper, by considering the collaborative scientific behaviors, a model for evolving hyper-network is proposed based on the hypergraph theory. We study analytically the dynamics of authors’ hyper-degree using mean-field approach. Results of both theoretical and numerical studies indicate that such a hyper-degree distribution follows a power-law decay, with the exponent γ=1+L/M, where L/M suggests the author growth rate of an evolving scientific network. In addition, empirical studies on ten-year journal data of Science China and Acta Physica Sinica from 2003 to 2012, shows that the present model can find good agreement with the empirical data. The proposed model may shed some light on the in-depth understanding of the structure and scientific collaboration networks.
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Keywords:
- complex networks /
- hypergraphs /
- scientific collaboration /
- evolving model
[1] Erdös P, Rényi A 1960 Publ. Math. Inst. Hung. Acad. Sci. 5 17
[2] Watts D, Strogates S H 1998 Nature 393 440
[3] Barabási A L, Albert R 1999 Science 286 509
[4] Davis G F, Greve H R 1997 Amer. J. Sociol. 103 1
[5] Ramasco J J, Dorogovtsev S N, Pastor-Satorras R 2004 Phys. Rev. E 64 016131
[6] Newman M E J 2001 Proc. Natl. Acad. Sci. U.S.A. 98 404
[7] He Y, Zhang P P, Xu T, Jiang Y M, He D R 2004 Acta Phys. Sin. 53 1710 (in Chinese) [何阅, 张培培, 许田, 姜玉梅,何大韧 2004 53 1710]
[8] Liljeros F, Edling C R, Amaral L A N, Stanley H E, Aberg Y 2001 Nature 411 907
[9] Newman M E J 2001 Phys. Rev. E 64 016131
[10] Newman M E J 2001 Phys. Rev. E 64 016132
[11] Barabási A L, Jeong H, Néda Z, Ravasz E, Schubet A, Vicsek T 2001 Physica A 311 590
[12] Zhou T, Jin Y D, Wang B H, He D R, Zhang P P, He Y, Su B B, Chen K, Zhang Z Z 2007 Int. J. Mod. Phys. C 18 297
[13] L L, Medo M, Yeung C H, Zhang Y C, Zhang Z K, Zhou T 2012 Phys. Rep. 519 1
[14] Berge C 1973 Graphs and Hypergraphs (vol. 6) (New York: Elsevier) p389
[15] Berge C 1989 Hypergraphs: Combinatorics of Finite Sets (Vol. 45) (Amsterdam: North-Holland Holl) p3
[16] Estrada E, Juan A J, Rodríguez V 2006 Physica A 364 581
[17] Ghoshal G, Zlatić, Caldarelli G, Newman M E J 2009 Phys. Rev. E 79 066118
[18] Zlatić V, Ghoshal G, Caldarelli G 2009 Phys. Rev. E 80 036118
[19] Zhang Z K, Liu C 2010 J. Stat. Mech. P10005
[20] Wang J W, Rong L L, Deng Q H, Zhang J Y 2010 Eur. Phys. J. B 77 493
[21] Hu F, Zhao H X, Ma X J 2013 Sci. Sin. Phys. Mech Astron. 43 16 (in Chinese) [胡枫, 赵海兴, 马秀娟 2013 中国科学: 物理学 力学 天文学 43 16]
[22] Shi D H 2011 Theory of network Degree Distributions (Vol. 1) (Beijing: Higher Education Press) p60 (in Chinese) [史定华 2011 网络度分布理论 (第1版) (北京: 高等教育出版社) 第60页]
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[1] Erdös P, Rényi A 1960 Publ. Math. Inst. Hung. Acad. Sci. 5 17
[2] Watts D, Strogates S H 1998 Nature 393 440
[3] Barabási A L, Albert R 1999 Science 286 509
[4] Davis G F, Greve H R 1997 Amer. J. Sociol. 103 1
[5] Ramasco J J, Dorogovtsev S N, Pastor-Satorras R 2004 Phys. Rev. E 64 016131
[6] Newman M E J 2001 Proc. Natl. Acad. Sci. U.S.A. 98 404
[7] He Y, Zhang P P, Xu T, Jiang Y M, He D R 2004 Acta Phys. Sin. 53 1710 (in Chinese) [何阅, 张培培, 许田, 姜玉梅,何大韧 2004 53 1710]
[8] Liljeros F, Edling C R, Amaral L A N, Stanley H E, Aberg Y 2001 Nature 411 907
[9] Newman M E J 2001 Phys. Rev. E 64 016131
[10] Newman M E J 2001 Phys. Rev. E 64 016132
[11] Barabási A L, Jeong H, Néda Z, Ravasz E, Schubet A, Vicsek T 2001 Physica A 311 590
[12] Zhou T, Jin Y D, Wang B H, He D R, Zhang P P, He Y, Su B B, Chen K, Zhang Z Z 2007 Int. J. Mod. Phys. C 18 297
[13] L L, Medo M, Yeung C H, Zhang Y C, Zhang Z K, Zhou T 2012 Phys. Rep. 519 1
[14] Berge C 1973 Graphs and Hypergraphs (vol. 6) (New York: Elsevier) p389
[15] Berge C 1989 Hypergraphs: Combinatorics of Finite Sets (Vol. 45) (Amsterdam: North-Holland Holl) p3
[16] Estrada E, Juan A J, Rodríguez V 2006 Physica A 364 581
[17] Ghoshal G, Zlatić, Caldarelli G, Newman M E J 2009 Phys. Rev. E 79 066118
[18] Zlatić V, Ghoshal G, Caldarelli G 2009 Phys. Rev. E 80 036118
[19] Zhang Z K, Liu C 2010 J. Stat. Mech. P10005
[20] Wang J W, Rong L L, Deng Q H, Zhang J Y 2010 Eur. Phys. J. B 77 493
[21] Hu F, Zhao H X, Ma X J 2013 Sci. Sin. Phys. Mech Astron. 43 16 (in Chinese) [胡枫, 赵海兴, 马秀娟 2013 中国科学: 物理学 力学 天文学 43 16]
[22] Shi D H 2011 Theory of network Degree Distributions (Vol. 1) (Beijing: Higher Education Press) p60 (in Chinese) [史定华 2011 网络度分布理论 (第1版) (北京: 高等教育出版社) 第60页]
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