FPT algorithms for path-transversal and cycle-transversal problems

  • Authors:
  • Sylvain Guillemot

  • Affiliations:
  • -

  • Venue:
  • Discrete Optimization
  • Year:
  • 2011

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Abstract

We study the parameterized complexity of several vertex- and edge-deletion problems on graphs, parameterized by the number p of deletions. The first kind of problems are separation problems on undirected graphs, where we aim at separating distinguished vertices in a graph. The second kind of problems are feedback set problems on group-labelled graphs, where we aim at breaking nonnull cycles in a graph having its arcs labelled by elements of a group. We obtain new FPT algorithms for these different problems, relying on a generic O^*(4^p) algorithm for breaking paths of a homogeneous path system.