Incompatibility networks as models of scale-free small-world graphs

Zhongzhi Zhang (), Shuigeng Zhou (), Tao Zou, Lichao Chen and Jihong Guan

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 60, issue 2, 259-264

Abstract: We make a mapping from Sierpinski fractals to a new class of networks, the incompatibility networks, which are scale-free, small-world, disassortative, and maximal planar graphs. Some relevant characteristics of the networks such as degree distribution, clustering coefficient, average path length, and degree correlations are computed analytically and found to be peculiarly rich. The method of network representation can be applied to some real-life systems making it possible to study the complexity of real networked systems within the framework of complex network theory. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 89.75.Hc Networks and genealogical trees, 05.45.Df Fractals, 02.10.Ox Combinatorics; graph theory, 89.75.Da Systems obeying scaling laws, (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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DOI: 10.1140/epjb/e2007-00344-7

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