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Le but de ce projet est de continuer la recherche sur les colorations suboptimales (des colorations utilisant plus de chi de G couleurs). Parmi les problèmes ouverts fingure la conjecture 2 dans [Blöchliger, de Werra. On some properties of suboptimal color ...
We consider vertex k-colorings of an arbitrary simple, connected, and undirected graph G=(V,E) such that, for every vertex v, at most lambda different colors occur in the closed neighborhood of v. These colorings are called (k,lambda)-colorings. If a graph ...
The notion of treewidth has seen to be a powerful vehicle for many graph algorithmic studies. A lot of problems, which are in general NP-complete, can be solved in polynomial time for graphs with small treewidth. In the first part of this paper we presen ...