Chromatic uniqueness in a family of 2-connected graphs
β Scribed by Halina Bielak
- Book ID
- 108316048
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 375 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
## Abstract In this paper we obtain chromatic polynomials __P(G__; Ξ») of 2βconnected graphs of order __n__ that are maximum for positive integerβvalued arguments Ξ» β§ 3. The extremal graphs are cycles __C__~__n__~ and these graphs are unique for every Ξ» β§ 3 and __n__ β 5. We also determine max{__P(
## Abstract In this paper, it is proven that for each __k__ β₯ 2, __m__ β₯ 2, the graph Ξ~__k__~(__m,β¦,m__), which consists of __k__ disjoint paths of length __m__ with same ends is chromatically unique, and that for each __m, n__, 2 β€ __m__ β€ __n__, the complete bipartite graph __K__~__m,n__~ is chr
Let S denote the class of 2-connected (n, n + 2)-graphs which have girth 5 and are not homeomorphic to K4. Chromatic classes of graphs in S are determined in this paper.