Another family of chromatically unique graphs
โ Scribed by Yee-Hock Peng
- Publisher
- Springer Japan
- Year
- 1995
- Tongue
- English
- Weight
- 368 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
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
## 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.
## 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
Frucht and Giudici classified all graphs having quadratic a-polynomials. Here w e classify all chromatically unique graphs having quadratic (Tpolynomials.