On Yamada polynomial of spatial graphs obtained by edge replacements
Geometric Topology
2018-01-30 v1
Abstract
We present formulae for computing the Yamada polynomial of spatial graphs obtained by replacing edges of plane graphs, such as cycle-graphs, theta-graphs, and bouquet-graphs, by spatial parts. As a corollary, it is shown that zeros of Yamada polynomials of some series of spatial graphs are dense in a certain region in the complex plane, described by a system of inequalities. Also, the relation between Yamada polynomial of graphs and the chain polynomial of edge-labelled graphs is obtained.
Keywords
Cite
@article{arxiv.1801.09075,
title = {On Yamada polynomial of spatial graphs obtained by edge replacements},
author = {Miaowang Li and Fengchun Lei and Fengling Li and Andrei Vesnin},
journal= {arXiv preprint arXiv:1801.09075},
year = {2018}
}