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 coloring of a graph with forbidden colors
โ Scribed by Marek Kubale
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 596 KB
- Volume
- 121
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
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 general problem is strongly NP-complete, we investigate its complexity in some special cases with particular reference to those that can be solved by polynomial-time algorithms.
๐ SIMILAR VOLUMES
Improved bounds on the performance of the on-line graph coloring algorithm First-Fit on interval graphs are obtained.
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