Let P\* denote the graph obtained by joining a new vertex to every vertex of a path on n vertices. Let Ui,j(n) denote the set of all connected graphs obtained from PfwP\* by connecting the four vertices of degree 2 by two paths of lengths s( 1> 0) and t( ~> 1) such that s + t = n -i -j is a constant
The chromatic class and the location of a graph on a closed surface
β Scribed by L. S. Mel'nikov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1970
- Tongue
- English
- Weight
- 344 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0001-4346
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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 Let Ξ»(__G__) be the lineβdistinguishing chromatic number and __x__β²(__G__) the chromatic index of a graph __G__. We prove the relation Ξ»(__G__) β₯ __x__β²(__G__), conjectured by Harary and Plantholt. Β© 1993 John Wiley & Sons, Inc.
We give an upper bound on the chromatic number of a graph in terms of its maximum degree and the size of the largest complete subgraph. Our result extends a theorem due to i3rook.s.
The harmonious chromatic number of a graph G, denoted by h(G), is the least number of colon which can be assigned to the vertices of G such that adjacent vertices are colored differently and any two distinct edges have different color pairs. This is a slight variation of a definition given independe