An edge-coloring of a simple graph \(G\) with colors \(1,2, \ldots, t\) is called an interval \(t\)-coloring [3] if at least one edge of \(G\) is colored by color \(i, i=1, \ldots, t\) and the edges incident with each vertex \(x\) are colored by \(d_{G}(x)\) consecutive colors, where \(d_{G}(x)\) is
A generalization of interval edge-colorings of graphs
β Scribed by P.A. Petrosyan; H.Z. Arakelyan; V.M. Baghdasaryan
- Book ID
- 108112888
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 428 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0166-218X
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π SIMILAR VOLUMES
## This paper is complementary to Kubale (1989). We consider herein a problem of interval coloring the edges of a graph under the restriction that certain colors cannot be used for some edges. We give lower and upper bounds on the minimum number of colors required for such a coloring. Since the ge
Let x'(G), called the strong coloring number of G, denote the minimum number of colors for which there is a proper edge coloring of a graph G in which no two of its vertices is incident to edges colored with the same set of colors. It is shown that Z'~(G) ~< Fcn], Β½ < c ~ 1, whenever A(G) is appropr
## Abstract A proper coloring of the edges of a graph __G__ is called __acyclic__ if there is no 2βcolored cycle in __G__. The __acyclic edge chromatic number__ of __G__, denoted by __aβ²__(__G__), is the least number of colors in an acyclic edge coloring of __G__. For certain graphs __G__, __aβ²__(_