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Treedepth Parameterized by Vertex Cover Number

Authors Yasuaki Kobayashi, Hisao Tamaki

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Yasuaki Kobayashi
Hisao Tamaki

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Yasuaki Kobayashi and Hisao Tamaki. Treedepth Parameterized by Vertex Cover Number. In 11th International Symposium on Parameterized and Exact Computation (IPEC 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 63, pp. 18:1-18:11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017) https://doi.org/10.4230/LIPIcs.IPEC.2016.18

Abstract

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(tau(G)^3) vertex kernel and an O(4^{tau(G)}*tau(G)*n) time fixed-parameter algorithm for this problem, where tau(G) is the size of a minimum vertex cover of G and n is the number of vertices of G.

Subject Classification

Keywords
  • Fixed-parameter algorithm
  • Polynomial kernelization
  • Structural parameterization
  • Treedepth
  • Vertex cover

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