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

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

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Year of publication:	2013
Authors:	Liao, Yunhua ; Fang, Aixiang ; Hou, Yaoping
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 392.2013, 19, p. 4584-4593
Publisher:	Elsevier
Subject:	Tutte polynomial \| Small-world graph \| Complex network \| Self-similar \| Abelian Sandpile Model \| Recurrent configuration

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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