Discrete Mathematics & Theoretical Computer Science
| author: | Vladimir E. Alekseev and Alastair Farrugia and Vadim V. Lozin |
|---|---|
| title: | New Results on Generalized Graph Coloring |
| keywords: | Generalized Graph Coloring; Polynomial algorithm; NP-completeness |
| abstract: | For graph classes ℘1,...,℘k, Generalized Graph Coloring is the problem of deciding whether the vertex set of a given
graph G can be partitioned into subsets
V1,...,Vk so that Vj induces a graph
in the class ℘j (j=1,2,...,k). If
℘1=...=℘k is the class of edgeless
graphs, then this problem coincides with
the standard vertex k-COLORABILITY,
which is known to be NP-complete for any k≥ 3.
Recently, this result has been generalized by
showing that if all ℘i's are additive
hereditary, then the generalized graph coloring
is NP-hard, with the only exception of bipartite
graphs. Clearly, a similar result follows when
all the ℘i's are co-additive.
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| reference: | Vladimir E. Alekseev and Alastair Farrugia and Vadim V. Lozin (2004), New Results on Generalized Graph Coloring, Discrete Mathematics and Theoretical Computer Science 6, pp. 215-222 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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