Du, Q., On o-polynomials and a class of chromatically unique graphs, Discrete Mathematics 115 (1993) 153-165. Let cr(G)=C:,,aicr '-' be the u-polynomial of a graph G. We ask the question: When k and a, are given, what is the largest possible value of ai(O < i < k) for any graph G? In this paper, thi
On the minimum real roots of the σ-polynomials and chromatic uniqueness of graphs
✍ Scribed by Haixing Zhao; Xueliang Li; Shenggui Zhang; Ruying Liu
- Book ID
- 108113382
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 301 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
It is proved that the chromatic polynomial of a connected graph with n vertices and m edges has a root with modulus at least (m&1)Â(n&2); this bound is best possible for trees and 2-trees (only). It is also proved that the chromatic polynomial of a graph with few triangles that is not a forest has a
## Abstract A graph is chromatically unique if it is uniquely determined by its chromatic polynomial. Let __G__ be a chromatically unique graph and let __K__~__m__~ denote the complete graph on __m__ vertices. This paper is mainly concerned with the chromaticity of __K__~__m__~ + __G__ where + deno