Two classes of chromatically unique graphs
โ Scribed by K.M. Koh; B.H. Goh
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 563 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
Let P(G; A) denote the chromatic polynomial of a graph G. G is chromatically unique if G is isomorphic to H for any graph H with P(H; A) = P(G; A).
In this paper, we provide two new classes of chromatically unique graphs.
๐ SIMILAR VOLUMES
The least number of colors needed to color the vertices of a graph G such that the vertices in each color class induces a linear forest is called the path-chromatic number of G, denoted by Zoo (G). If all such colorings of the vertices of G induce the same partitioning of the vertices of G, we say
## Abstract In this paper, it is proven that for each __k__ โฅ 2, __m__ โฅ 2, the graph ฮ~__k__~(__m,โฆ,m__), which consists of __k__ disjoint paths of length __m__ with same ends is chromatically unique, and that for each __m, n__, 2 โค __m__ โค __n__, the complete bipartite graph __K__~__m,n__~ is chr
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