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Generating Hierarchically Modular Networks via Link Switching

2009/03/15 by Susan Khor, Khor, Susan
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Advanced Graph Theory Research #Complex Network Analysis Techniques #DNA and Biological Computing #FOS: Computer and information sciences #Other Computer Science (cs.OH) #cs.OH

paper · pdf · doi:10.48550/arxiv.0903.2598

Appendix B

openalex publication_date 2009/03/15 · arxiv created 2009/07/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper introduces a method to generate hierarchically modular networks with prescribed node degree list by link switching. Unlike many existing network generating models, our method does not use link probabilities to achieve modularity. Instead, it utilizes a user-specified topology to determine relatedness between pairs of nodes in terms of edge distances and links are switched to increase edge distances. To measure the modular-ness of a network as a whole, a new metric called Q2 is proposed. Comparisons are made between the Q [15] and Q2 measures. We also comment on the effect of our modularization method on other network characteristics such as clustering, hierarchy, average path length, small-worldness, degree correlation and centrality. An application of this method is reported elsewhere [12]. Briefly, the generated networks are used as test problems to explore the effect of modularity and degree distribution on evolutionary search algorithms.

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