GRAPH SKEIN MODULES AND SYMMETRIES OF SPATIAL GRAPHS

Author:

CHBILI NAFAA1

Affiliation:

1. Department of Mathematical Sciences, College of Science, UAE University, Al Ain 17551, UAE

Abstract

In this paper, we compute the graph skein algebra of the punctured disk with two holes. Then, we apply the graph skein techniques developed here to establish necessary conditions for a spatial graph to have a symmetry of order p, where p is a prime. The obstruction criteria introduced here extend some results obtained earlier for symmetric spatial graphs.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Equivariant Jones polynomials of periodic links;Journal of Knot Theory and Its Ramifications;2017-03

2. Ribbon Graphs and Temperley-Lieb Algebra;Contemporary Mathematics;2016

3. The Yamada polynomial of lens spatial graphs;Asian-European Journal of Mathematics;2015-06

4. A NOTE ON THE TUTTE POLYNOMIAL AND THE AUTOMORPHISM GROUP OF A GRAPH;Asian-European Journal of Mathematics;2014-03

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