Hostname: page-component-8448b6f56d-wq2xx Total loading time: 0 Render date: 2024-04-23T22:00:45.129Z Has data issue: false hasContentIssue false
  • English
  • Français

The Zero-Free Intervals for Chromatic Polynomials of Graphs

Published online by Cambridge University Press:  01 December 1997

CARSTEN THOMASSEN
CARSTEN THOMASSEN
Affiliation:
Mathematical Institute, Technical University of Denmark, DK-2800 Lyngby, Denmark; (e-mail: C.Thomassen@mat.dtu.dk)
Get access Rights & Permissions [Opens in a new window]

Abstract

The maximal zero-free intervals for chromatic polynomials of graphs are precisely (−∞, 0), (0, 1), (1, 32/27]. We also investigate the distribution of zeros of chromatic polynomials in various classes of graphs closed under minors. For example, the zeros of chromatic polynomials of graphs of tree-width at most k consist of 0, 1 and a dense subset of the interval (32/27, k].

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 6 , Issue 4 , December 1997 , pp. 497 - 506
Copyright
1997 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)