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A single-exponential fixed-parameter algorithm for Distance-Hereditary Vertex Deletion

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Type
Preprint
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Submission Date
Identifiers
arXiv ID: 1604.06056
Source
arXiv
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Abstract

Vertex deletion problems ask whether it is possible to delete at most $k$ vertices from a graph $G$ so that the resulting graph belongs to a specified graph class. Over the past years, the parameterized complexity of vertex deletion to a plethora of graph classes has been systematically researched. Here we present the first single-exponential fixed-parameter algorithm for vertex deletion to distance-hereditary graphs, a well-studied graph class which is particularly important in the context of vertex deletion due to its connection to the graph parameter rank-width. We complement our result with matching asymptotic lower bounds based on the exponential time hypothesis.

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