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
Interval edge-colorings of
โ Scribed by Grzesik, A.; Khachatrian, H.
- Book ID
- 121737390
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 361 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0166-218X
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๐ 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], ยฝ < c ~ 1, whenever A(G) is appropr