Treedepth Parameterized by Vertex Cover Number

نویسندگان

  • Yasuaki Kobayashi
  • Hisao Tamaki
چکیده

To solve hard graph problems from the parameterized perspective, structural parameters have commonly been used. In particular, vertex cover number is frequently used in this context. In this paper, we study the problem of computing the treedepth of a given graph G. We show that there are an O(τ(G)3) vertex kernel and an O(4τ(G)τ(G)n) time fixed-parameter algorithm for this problem, where τ(G) is the size of a minimum vertex cover of G and n is the number of vertices of G. 1998 ACM Subject Classification G.2.2 Graph Algorithms

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تاریخ انتشار 2016