A small-world network derived from the deterministic uniform recursive tree

Zhe-Ming Lu and Shi-Ze Guo

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 1, 87-92

Abstract: As the deterministic version of the uniform recursive tree (URT), the deterministic uniform recursive tree (DURT) has been intensively studied by Zhang et al. (2008) [21]. They gave several important properties of DURT, including its topological characteristics and spectral properties. Although DURT shows a logarithmic scaling with the size of the network, DURT is not a small-world network since its clustering coefficient is zero. In this paper, we propose a new deterministic small-world network by adding some edges with a simple rule in each DURT iteration, and then give the analytic solutions to several topological characteristics of the model proposed.

Keywords: Small-world networks; Uniform recursive tree; Deterministic uniform recursive tree; Deterministic small-world models (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:1:p:87-92

DOI: 10.1016/j.physa.2011.08.002

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