Journal of Graph Algorithms and Applications
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The Black-and-White Coloring Problem on Chordal Graphs
Vol. 16, no. 2, pp. 261-281, 2012. Regular paper.
Abstract 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 NP-complete in general. We provide here a polynomial time algorithm for chordal graphs.
Submitted: September 2009.
Reviewed: January 2011.
Revised: May 2011.
Reviewed: August 2011.
Revised: September 2011.
Accepted: February 2012.
Final: March 2012.
Published: March 2012.
Communicated by Martin Fürer