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arXiv · 1106.4454

Parameterized Eulerian Strong Component Arc Deletion Problem on Tournaments

Robert Crowston·Gregory Gutin·Mark Jones·Anders Yeo
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Abstract

In the problem {\sc Min-DESC}, we are given a digraph $D$ and an integer $k$, and asked if there exists a set $A'$ of at most $k$ arcs in $D$, such that if we remove the arcs of $A'$, in the resulting digraph every strong component is Eulerian. {\sc Min-DESC} is NP-hard; Cechlárová and Schlotter (IPEC 2010) asked if the problem is fixed-parameter tractable when parameterized by $k$. We consider the subproblem of{\sc Min-DESC} when $D$ is a tournament. We show that this problem is fixed-parameter tractable with respect to $k$.

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Robert Crowston, Gregory Gutin, Mark Jones, Anders Yeo. 2011-11-23. Parameterized Eulerian Strong Component Arc Deletion Problem on Tournaments. https://arxiv.org/abs/1106.4454

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