The Tutte polynomial of an infinite family of outerplanar, small-world and self-similar graphs

Yunhua Liao, Aixiang Fang and Yaoping Hou

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 19, 4584-4593

Abstract: In this paper we recursively describe the Tutte polynomial of an infinite family of outerplanar, small-world and self-similar graphs. In particular, we study the Abelian Sandpile Model on these graphs and obtain the generating function of the recurrent configurations. Further, we give some exact analytical expression for the Tutte polynomial at several special points

Keywords: Tutte polynomial; Small-world graph; Complex network; Self-similar; Abelian Sandpile Model; Recurrent configuration (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:19:p:4584-4593

DOI: 10.1016/j.physa.2013.05.021

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