Journal article
Density of Real Zeros of the Tutte Polynomial
The Tutte polynomial of a graph is a two-variable polynomial whose zeros and evaluations encode many interesting properties of the graph. In this article we investigate the real zeros of the Tutte polynomials of graphs, and show that they form a dense subset of certain regions of the plane. This is the first density result for the real zeros of the Tutte polynomial in a region of positive volume.
Our result almost confirms a conjecture of Jackson and Sokal except for one region which is related to an open problem on flow polynomials.
Language: | English |
---|---|
Publisher: | Cambridge University Press |
Year: | 2018 |
Pages: | 398-410 |
ISSN: | 14692163 and 09635483 |
Types: | Journal article |
DOI: | 10.1017/S0963548318000019 |
ORCIDs: | Perrett, Thomas |