The Black-and-White Coloring Problem on Distance-Hereditary Graphs and Strongly Chordal Graphs
نویسندگان
چکیده
Given a graph G and integers b and w. The black-and-white coloring problem asks if there exist disjoint sets of vertices B and W with |B| = b and |W| = w such that no vertex in B is adjacent to any vertex inW. In this paper we show that the problem is polynomial when restricted to cographs, distance-hereditary graphs, interval graphs and strongly chordal graphs. We show that the problem is NP-complete on splitgraphs.
منابع مشابه
The Black-and-White Coloring Problem on Chordal Graphs
Given a graph G and positive integers b and w, the black-and-white coloring problem asks about the existence of a partial vertex-coloring of G, with b vertices colored black and w white, such that there is no edge between a black and a white vertex. This problem is known to be NPcomplete in general. We provide here a polynomial time algorithm for chordal graphs. Submitted: September 2009 Review...
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