Frucht and Giudici classified all graphs having quadratic a-polynomials. Here w e classify all chromatically unique graphs having quadratic (Tpolynomials.
The list of chromatically unique graphs of order seven and eight
β Scribed by Nian-Zu Li
- Book ID
- 104113792
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 947 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Note. In the following list, Gij (resp., gij) denotes the jth chromatically unique graph of size i and order 7 (resp., order 8). A graph with a 'C' represents its complement.
π SIMILAR VOLUMES
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
## 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
A generalized O-graph i.~ a wnnected graph with 3 palths between a pair of vertices of degree 3. It is showi:~ that uny graph having the same ckomatic polynomial as a generaiized O-graph, must be isomorphic to tk generalized O-graph.
Xu, S., The chromatic uniqueness of complete bipartite graphs, Discrete Mathematics 94 (1991) 153-159. This paper is partitioned into two parts. In the first part we determine the maximum number of induced complete bipartite subgraphs in graphs with some given conditions. Using a theorem given in th