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arXiv · 1405.6433

Results for grundy number of the complement of bipartite graphs

Ali Mansouri·Mohamed Salim Bouhlel
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Abstract

A Grundy k-coloring of a graph G, is a vertex k-coloring of G such that for each two colors i and j with i < j, every vertex of G colored by j has a neighbor with color i. The Grundy chromatic number (G), is the largest integer k for which there exists a Grundy k-coloring for G. In this note we first give an interpretation of (G) in terms of the total graph of G, when G is the complement of a bipartite graph. Then we prove that determining the Grundy number of the complement of bipartite graphs is an NP-Complete problem

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Ali Mansouri, Mohamed Salim Bouhlel. 2014-05-25. Results for grundy number of the complement of bipartite graphs. https://arxiv.org/abs/1405.6433

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