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Coloring some classes of mixed graphs
Authors:B. Ries
Affiliation:Ecole Polytechnique Fédérale de Lausanne, FSB-IMA-ROSE, Station 8, CH-1015 Lausanne, Switzerland
Abstract:We consider the coloring problem for mixed graphs, that is, for graphs containing edges and arcs. A mixed coloring c is a coloring such that for every edge [xi,xj], c(xi)≠c(xj) and for every arc (xp,xq), c(xp)<c(xq). We will analyse the complexity status of this problem for some special classes of graphs.
Keywords:Mixed graphs   Bipartite graphs   Partial k-trees   Precoloring extension   SAT
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