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Preprocessing Subgraph and Minor Problems: When Does a Small Vertex Cover Help?
[article]
2013
arXiv
pre-print
We prove a number of results around kernelization of problems parameterized by the size of a given vertex cover of the input graph. We provide three sets of simple general conditions characterizing problems admitting kernels of polynomial size. Our characterizations not only give generic explanations for the existence of many known polynomial kernels for problems like q-Coloring, Odd Cycle Transversal, Chordal Deletion, Eta Transversal, or Long Path, parameterized by the size of a vertex cover,
arXiv:1206.4912v3
fatcat:yady3pi7krfwjajng3z3ni4x3u