Minimum colored Maximum Matchings in vertex-colored Graphs
Abstract
We deal with three aspects of the complexity of the problem of finding a maximum matching that minimizes the number of colors in a vertex-colored graph. We first prove that it isW[2]-hard with the number of color of the solution as parameter. Next that it is hard to approximate within logarithmic ratio of the number of internal nodes (nodes of degree 2 or more). And finally that it is fixed-parameter tractable with the size of a maximum matching as parameter.
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