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The complexity of minimum convex coloring
2012
Discrete Applied Mathematics
A coloring of the vertices of a graph is called convex if each subgraph induced by all vertices of the same color is connected. We consider three variants of recoloring a colored graph with minimal cost such that the resulting coloring is convex. Two variants of the problem are shown to be N P-hard on trees even if in the initial coloring each color is used to color only a bounded number of vertices. For graphs of bounded treewidth, we present a polynomial-time (2+ )-approximation algorithm for
doi:10.1016/j.dam.2011.09.022
fatcat:g2wesaystjdbppt4dxvsd4u4ca