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- W2489997067 abstract "In the k-Vertex-Disjoint Paths problem, we are given a graph G and k terminal pairs of vertices, and are asked whether there is a set of k vertex-disjoint paths linking these terminal pairs, respectively. In the k-Path problem, we are given a graph and are asked whether there is a path of length k. It is known that both problems are NP-hard even in split graphs, which are the graphs whose vertices can be partitioned into a clique and an independent set. We study kernelization for the two problems in split graphs. In particular, we derive a 4k vertex-kernel for the k-Vertex-Disjoint Paths problem and a (frac{3}{2}k^2+frac{1}{2}k) vertex-kernel for the k-Path problem." @default.
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- W2489997067 date "2016-01-01" @default.
- W2489997067 modified "2023-09-23" @default.
- W2489997067 title "Kernelization of Two Path Searching Problems on Split Graphs" @default.
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- W2489997067 doi "https://doi.org/10.1007/978-3-319-39817-4_23" @default.
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