Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10481960 | Physica A: Statistical Mechanics and its Applications | 2013 | 10 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yunhua Liao, Aixiang Fang, Yaoping Hou,