[1] Watts D J, Strogatz S H. Collective dynamics of ‘small-world’networks[J].nature, 1998, 393(6684): 440-442.
[2] Barabási A L, Albert R. Emergence of scaling in random networks[J].science, 1999, 286(5439): 509-512.
[3] 章忠志, 周水庚, 方锦清. 复杂网络确定性模型研究的最新进展[J].复杂系统与复杂性科学, 2008, 5(4):29-46.
Zhang Zhongzhi, Zhou Shuigeng, Fan|Jinqing. Recent progress of deterministic models forcomplex networks[J].Complex Systems and Complexity Science, 2008, 5(4):29-46.
[4] Comellas F, Ozon J, Peters J G. Deterministic small-world communication networks[J].Information Processing Letters, 2000, 76(1): 83-90.
[5] Zhang Z, Zhou S, Qi Y, et al. Topologies and Laplacian spectra of a deterministic uniform recursive tree[J].The European Physical Journal B-Condensed Matter and Complex Systems, 2008, 63(4): 507-513.
[6] Barabási A L, Ravasz E, Vicsek T. Deterministic scale-free networks[J].Physica A: Statistical Mechanics and its Applications, 2001, 299(3): 559-564.
[7] Zhou T, Wang B H, Hui P M, et al. Topological properties of integer networks[J].Physica A: Statistical Mechanics and its Applications, 2006, 367: 613-618.
[8] 李永,方锦清,刘强. 多种确定性广义Farey组织的网络金字塔[J].物理学报,2010,05:2991-3000.
Li Yong, Fan Jingqing, Liu Qiang. Determinate generalized Farey organized network pyramid[J].Acta Physica Sinina, 2010,05:2991-3000.
[9] Andrade Jr J S, Herrmann H J, Andrade R F S, et al. Apollonian networks: simultaneously scale-free, small world, euclidean, space filling, and with matching graphs[J].Physical Review Letters, 2005, 94(1): 018702.
[10] Zhang Z, Chen L, Zhou S, et al. Exact analytical solution of average path length for Apollonian networks[J].arXiv preprint arXiv:0706.3491, 2007.[DB/OL].[2014-05-06].http://arxiv.org/abs/0706.3491.
[11] 邢长明,刘方爱.基于Sierpinski分形垫的确定性复杂网络演化模型研究[J].物理学报,2010,59(3):1608-1614.
Xing Chang-ming, Liu Fan-ai.[J].Research on the determinstic complex network model based on the Sierpinski network[J].ACTA PHYSICA SININA, 2010,59(3):1608-1614.
[12] Zhang Z, Zhou S, Fang L, et al. Maximal planar scale-free Sierpinski networks with small-world effect and power law strength-degree correlation[J].EPL (Europhysics Letters), 2007, 79(3): 38007.
[13] Zhang ZH ZH, Qi Y, Zhou SH G,et al. Explicit determination of mean first-passage time for random walks on deterministic uniform recursive trees[J].Physical Review E, 2010, 81:016114.
[14] Zhang ZH ZH, Yang Y H, Gao SH Y. Role of fractal dimension in random walks on scale-free networks[J].European Physical Journal B, 2011, 84:331-338.
[15] Wu B, Zhang|ZH ZH, Chen G R. Properties and applications of Laplacian spectra for the Koch networks[J].Journal of Physics A: Mathematical and Theoretical, 2012, 45:025102.
[16] Zhang ZH ZH, Shan T, Chen G R. Random walks on weighted networks[J].Physical Review E, 2013, 87:012112.
[17] Zhang Z, Wu B, Comellas F. The number of spanning trees in Apollonian networks[J].Discrete Applied Mathematics, 2014, 169: 206-213.
[18] Zhang Z, Gao S, Chen L, et al. Mapping Koch curves into scale-free small-world networks[J].Journal of Physics A: Mathematical and Theoretical, 2010, 43(39): 395101.
[19] Zhang Z, Zhou S, Xie W, et al. Standard random walks and trapping on the Koch network with scale-free behavior and small-world effect[J].Physical Review E, 2009, 79(6): 061113.
[20] Zhang Z, Gao S, Xie W. Impact of degree heterogeneity on the behavior of trapping in Koch networks[J].Chaos: an Interdisciplinary Journal of Nonlinear Science, 2010, 20(4): 043112.
[21] Zhang Z, Gao S. Scaling of mean first-passage time as efficiency measure of nodes sending information on scale-free Koch networks[J].The European Physical Journal B-Condensed Matter and Complex Systems, 2011, 80(2): 209-216.
[22] 刘甲雪,孔祥木.无标度立体Koch网络的建立及其结构性质研究[J].物理学报,2010,4:2244-2249.
Liu Jia-xue, Kong Xiang-mu. Establishment and structure properties on scale-free Koch network[J].Acta Physica Sinna, 2010,4:2244-2249.
[23] Chen R, Fu X, Wu Q. On topological properties of the octahedral Koch network[J].Physica A: Statistical Mechanics and its Applications, 2012, 391(3): 880-886.
[24] Zhang J, Sun W. The structural properties of the generalized Koch network[J].Journal of Statistical Mechanics: Theory and Experiment, 2010, (7): P07011.
[25] Zhang J Y, Sun W G, Chen G R. Exact scaling for the mean first-passage time of random walks on a generalized Koch network with a trap[J].Chinese Physics B, 2012, 21(3): 8901.
[26] Sun W, Zhang J, Wu Y. Novel evolving small-world scale-free Koch networks[J].Journal of Statistical Mechanics: Theory and Experiment, 2011, 2011(3): P03021.
[27] Wu Z K, Hou B Y, Zhang H S, et al. Scaling of average weighted shortest path and average receiving time on weighted expanded Koch networks[J].International Journal of Modern Physics B, 2014, 28(28):2699-2700.
[28] Zhang Z, Comellas F, Fertin G, et al. Vertex labeling and routing in expanded Apollonian networks[J].Journal of Physics A: Mathematical and Theoretical, 2008, 41(3): 035004.
[29] Comellas F, Miralles A. Vertex labeling and routing in self-similar outerplanar unclustered graphs modeling complex networks[J].Journal of Physics A: Mathematical and Theoretical, 2009, 42(42): 425001.
[30] Comellas F, Miralles A. Label-based routing for a family of scale-free, modular, planar and unclustered graphs[J].Journal of Physics A: Mathematical and Theoretical, 2011, 44(20): 205102.
