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In order to study the structural characteristic and node centrality of a structure composed of two related heterogeneous networks, in this paper, interlacing layered complex networks are defined as networks which are composed of two subnets having the partially same nodes and similar links. Also the definitions of the node interlacing coefficient, path interlacing coefficient and networks interlacing coefficient are given, so the intimacy level of two subnets can be measured definitely. Based on the definitions above, a node centrality algorithm of degree and betweenness is studied and redefined, while a new node centrality measuring index is given, which can be used to measure the supporting degree of a node in one subnet to the others' connectivity and negotiability. Finally, experimental results show that the proposed method is effective.
[1] Jin X, Xie B, Zhu J M 2012 Journal of Jilin University (Engineering and Technology Edition) 42 272 (in Chinese) [金鑫, 谢斌, 朱建明2012 吉林大学学报(工学版) 42 272]
[2] Tian X, Zhu Y C, Luo K, Zhang C M 2013 Systems Engineering and Electronics 35 91(in Chinese) [田旭光, 朱元昌, 罗坤, 张成名 2013 系统工程与电子技术 35 91]
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[8] Gu C G, Zou S R, Xu L 2011 Phys. Rev. E 84 026101
[9] Li K J, Gu C G, Qu Y Q, Pan S J, Zou R S, He D R, Jiang Y M 2012 Complex System and Complexity Science 9 77 (in Chinese) [李凯军, 顾长贵, 瞿艳青, 潘四军, 邹荣盛, 何大韧姜玉梅2012复杂系统与复杂性科学 9 77]
[10] Sergey V. B, Roni P, Gerald P, H. E S 2, Shlomo H 2010 Nature 464 1025
[11] Gao J, Sergey V B, H. Eugene S, Shlomo H 2012 Nature Physic 8 40
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[14] Hu F, Zhao H X, Ma X J 2013 SCIENTIA SINICA Physica Mechanica & Astronomica 4 16(in Chinese) [胡枫, 赵海兴, 马秀娟 2013 中国科学: 4 16]
[15] Shao F J, Sun R C, Li S J, Sui Y 2012 Complex System and Complexity Science 9 20 (in Chinese) [邵峰晶, 孙仁诚, 李淑静, 隋毅2012复杂系统与复杂性科学9 20]
[16] Li Z K, He E, Zeng Z R, Xie Z G 2013 Chin. Phys. B 22 070504
[17] Chen H B, Fan Y, Fang J Q, Di Z R 2009 Acta Phys. Sin. 58 1383(in Chinese) [陈宏斌, 樊瑛, 方锦清, 狄增如2009物理学报 58 1383]
[18] Luo J D 2010 Social Network Analysis (2st Ed.) (Beijing: Social Science Academic Press) p187 (in Chinese) [罗家德2010社会网分析讲义(北京: 社会科学文献出版社)第187页]
[19] Yu H, Liu Z, Li Y J 2013 Acta Phys. Sin. 62 020204(in Chinese) [于会, 刘尊, 李勇军 2013 物理学报 62 020204]
[20] Zhang G Q, Zhang G Q 2012 Science China Information Sciences 55 2454
[21] Wang J, Liu Y H, Jiao Y 2008 Zhejiang Univ. Sci. A 9 1331
[22] Wang X F, Li X, Chen G R 2012 Network Science: An Introduction (1st Ed.) (Beijing: Higher Education Press) p161 (in Chinese) [汪小帆, 李翔, 陈关荣2012网络科学导论(北京: 高等教育出版社)第161页]
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[1] Jin X, Xie B, Zhu J M 2012 Journal of Jilin University (Engineering and Technology Edition) 42 272 (in Chinese) [金鑫, 谢斌, 朱建明2012 吉林大学学报(工学版) 42 272]
[2] Tian X, Zhu Y C, Luo K, Zhang C M 2013 Systems Engineering and Electronics 35 91(in Chinese) [田旭光, 朱元昌, 罗坤, 张成名 2013 系统工程与电子技术 35 91]
[3] Yuan X P, Xue Y K, Liu M X 2013 Chin. Phys. B 22 030207
[4] XU Y, QIU J, LIU G 2012 Acta Armamentarii 32 244(in Chinese) [徐玉国, 邱静, 刘冠军 2012 兵工学报 32 244]
[5] Kinney R, Crucitti P, Albert R 2005 European Physical Journal B 46 101
[6] Kurant M, Thiran P 2006 Phys Rev. Lett. 96 138701
[7] Zou S R, Zhou T, Liu A F 2010 Phys. Letts. A 374 4406
[8] Gu C G, Zou S R, Xu L 2011 Phys. Rev. E 84 026101
[9] Li K J, Gu C G, Qu Y Q, Pan S J, Zou R S, He D R, Jiang Y M 2012 Complex System and Complexity Science 9 77 (in Chinese) [李凯军, 顾长贵, 瞿艳青, 潘四军, 邹荣盛, 何大韧姜玉梅2012复杂系统与复杂性科学 9 77]
[10] Sergey V. B, Roni P, Gerald P, H. E S 2, Shlomo H 2010 Nature 464 1025
[11] Gao J, Sergey V B, H. Eugene S, Shlomo H 2012 Nature Physic 8 40
[12] Gslrada G, Juan A, Rodriguez V 2006 Phys. A 364 581
[13] Zlalic V, Ohoshal C, Caldarelli C 2009 Phys. Rev. G 80 036118
[14] Hu F, Zhao H X, Ma X J 2013 SCIENTIA SINICA Physica Mechanica & Astronomica 4 16(in Chinese) [胡枫, 赵海兴, 马秀娟 2013 中国科学: 4 16]
[15] Shao F J, Sun R C, Li S J, Sui Y 2012 Complex System and Complexity Science 9 20 (in Chinese) [邵峰晶, 孙仁诚, 李淑静, 隋毅2012复杂系统与复杂性科学9 20]
[16] Li Z K, He E, Zeng Z R, Xie Z G 2013 Chin. Phys. B 22 070504
[17] Chen H B, Fan Y, Fang J Q, Di Z R 2009 Acta Phys. Sin. 58 1383(in Chinese) [陈宏斌, 樊瑛, 方锦清, 狄增如2009物理学报 58 1383]
[18] Luo J D 2010 Social Network Analysis (2st Ed.) (Beijing: Social Science Academic Press) p187 (in Chinese) [罗家德2010社会网分析讲义(北京: 社会科学文献出版社)第187页]
[19] Yu H, Liu Z, Li Y J 2013 Acta Phys. Sin. 62 020204(in Chinese) [于会, 刘尊, 李勇军 2013 物理学报 62 020204]
[20] Zhang G Q, Zhang G Q 2012 Science China Information Sciences 55 2454
[21] Wang J, Liu Y H, Jiao Y 2008 Zhejiang Univ. Sci. A 9 1331
[22] Wang X F, Li X, Chen G R 2012 Network Science: An Introduction (1st Ed.) (Beijing: Higher Education Press) p161 (in Chinese) [汪小帆, 李翔, 陈关荣2012网络科学导论(北京: 高等教育出版社)第161页]
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