Self-similar planar graphs as models for complex networks
Physics and Society
2008-06-10 v1 Statistical Mechanics
Abstract
In this paper we introduce a family of planar, modular and self-similar graphs which have small-world and scale-free properties. The main parameters of this family are comparable to those of networks associated to complex systems, and therefore the graphs are of interest as mathematical models for these systems. As the clustering coefficient of the graphs is zero, this family is an explicit construction that does not match the usual characterization of hierarchical modular networks, namely that vertices have clustering values inversely proportional to their degrees.
Cite
@article{arxiv.0806.1258,
title = {Self-similar planar graphs as models for complex networks},
author = {Lichao Chen and Francesc Comellas and Zhongzhi Zhang},
journal= {arXiv preprint arXiv:0806.1258},
year = {2008}
}
Comments
10 pages, submitted to 19th International Workshop on Combinatorial Algorithms (IWOCA 2008)