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Microblog is a social medium platform allowing users to share real-time information through the user relationship networks which are established by the mechanism of “following”. Message is spread through the user relationship networks by users' behavior of “retweeting”. The research on the spread mechanism of microblog message is very important for public sentiment analysis and rumor propagation control. In this paper, we intend to explore the process of microblog propagation through structural analysis of microblog propagation network. First, we adopt the data of Sina Microblog to establish microblog propagation network, then analyze the formation mechanism of this network, finally, derive the degree distribution model of microblog propagation network by mean-field theory. Experimental results show that the degree distribution of microblog propagation network is a time-dependent model, and it is a power-law distribution at specific time.
[1] Erdos P, Rényi A 1961 Bull. Inst. Internat. Statist 38 343
[2] Erd Hos P, Rényi A 1959 Publ. Math.: Debrecen 6 290
[3] Solomonoff R, Rapoport 1951 B Math. Biol. 13 107
[4] Watts D J, Strogatz S H 1998 Nature 393 440
[5] Barabási A, Albert R 1999 Science 286 509
[6] Dorogovtsev S N, Mendes J F F 2001 Phys. Rev. E 63 25101
[7] Krapivsky P L, Redner S 2005 Phys. Rev. E 71 36118
[8] Li X, Chen G 2003 Physica A 328 274
[9] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200
[10] Watts D J 2004 Annu. Rev. Sociol. 30 243
[11] Kermark M, Mckendrick A G 1927 Proc. R. Soc. A London, August 1, 1927 p700
[12] Moreno Y, Nekovee M, Pacheco A F 2004 Phys. Rev. E 69 66130
[13] Xiong F, Liu Y, Zhang Z, Zhu J, Zhang Y 2012 Phys. Lett. A 376 2103
[14] Liu Q, Deng C, Sun M 2014 Physica A 410 79
[15] Chen L, Sun J 2014 Physica A 410 196
[16] Gong Y W, Song Y R, Jiang G P 2012 Chin. Phys. B 21 010205
[17] Lu Y L, Jiang G P, Song Y R 2012 Chin. Phys. B 21 100207
[18] Zhang Y C, Liu Y, Zhang H F, Cheng H, Xiong F 2011 Acta Phys. Sin. 60 050501 (in Chinese) [张彦超, 刘云, 张海峰, 程辉, 熊菲 2011 物理学报 60 050501]
[19] Xiong X, Hu Y 2012 Acta Phys. Sin. 61 150509 (in Chinese) [熊熙, 胡勇 2012 物理学报 61 150509]
[20] Barabási A, Albert R, Jeong H 1999 Physica A 272 173
[21] Shi D H 2011 Theory of Network Degree Distributions (Beijing: Higher Education Press) p60 (in Chinese) [史定华 2011 网络度分布理论 (北京: 高等教育出版社) 第60页]
[22] Newman M E 2002 Phys. Rev. Lett. 89 208701
[23] Newman M E 2003 Phys. Rev. E 67 26126
[24] Leskovec J, Backstrom L, Kumar R, Tomkins A 2008 Proceedings of the 14th ACM SIGKDD International Conference on Knowledge Discovery and Data mining Las Vegas, NV, USA, August 24-27, 2008 p462
[25] Allamanis M, Scellato S, Mascolo C 2012 Proceedings of the 2012 ACM Conference on Internet Measurement Conference Boston, MA, USA, November 14-16, 2012 p145
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[1] Erdos P, Rényi A 1961 Bull. Inst. Internat. Statist 38 343
[2] Erd Hos P, Rényi A 1959 Publ. Math.: Debrecen 6 290
[3] Solomonoff R, Rapoport 1951 B Math. Biol. 13 107
[4] Watts D J, Strogatz S H 1998 Nature 393 440
[5] Barabási A, Albert R 1999 Science 286 509
[6] Dorogovtsev S N, Mendes J F F 2001 Phys. Rev. E 63 25101
[7] Krapivsky P L, Redner S 2005 Phys. Rev. E 71 36118
[8] Li X, Chen G 2003 Physica A 328 274
[9] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200
[10] Watts D J 2004 Annu. Rev. Sociol. 30 243
[11] Kermark M, Mckendrick A G 1927 Proc. R. Soc. A London, August 1, 1927 p700
[12] Moreno Y, Nekovee M, Pacheco A F 2004 Phys. Rev. E 69 66130
[13] Xiong F, Liu Y, Zhang Z, Zhu J, Zhang Y 2012 Phys. Lett. A 376 2103
[14] Liu Q, Deng C, Sun M 2014 Physica A 410 79
[15] Chen L, Sun J 2014 Physica A 410 196
[16] Gong Y W, Song Y R, Jiang G P 2012 Chin. Phys. B 21 010205
[17] Lu Y L, Jiang G P, Song Y R 2012 Chin. Phys. B 21 100207
[18] Zhang Y C, Liu Y, Zhang H F, Cheng H, Xiong F 2011 Acta Phys. Sin. 60 050501 (in Chinese) [张彦超, 刘云, 张海峰, 程辉, 熊菲 2011 物理学报 60 050501]
[19] Xiong X, Hu Y 2012 Acta Phys. Sin. 61 150509 (in Chinese) [熊熙, 胡勇 2012 物理学报 61 150509]
[20] Barabási A, Albert R, Jeong H 1999 Physica A 272 173
[21] Shi D H 2011 Theory of Network Degree Distributions (Beijing: Higher Education Press) p60 (in Chinese) [史定华 2011 网络度分布理论 (北京: 高等教育出版社) 第60页]
[22] Newman M E 2002 Phys. Rev. Lett. 89 208701
[23] Newman M E 2003 Phys. Rev. E 67 26126
[24] Leskovec J, Backstrom L, Kumar R, Tomkins A 2008 Proceedings of the 14th ACM SIGKDD International Conference on Knowledge Discovery and Data mining Las Vegas, NV, USA, August 24-27, 2008 p462
[25] Allamanis M, Scellato S, Mascolo C 2012 Proceedings of the 2012 ACM Conference on Internet Measurement Conference Boston, MA, USA, November 14-16, 2012 p145
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