Informace o publikaci

A single-exponential fixed-parameter algorithm for distance-hereditary vertex deletion


EIBEN Eduard GANIAN Robert KWON O-joung

Rok publikování 2018
Druh Článek v odborném periodiku
Časopis / Zdroj Journal of Computer and System Sciences
Fakulta / Pracoviště MU

Fakulta informatiky

Klíčová slova parameterized complexity; distance hereditary graphs
Popis Vertex deletion problems ask whether it is possible to delete at most k vertices from a graph 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 tractable 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. As an application of our algorithm, we show that a vertex deletion set to distance-hereditary graphs can be used as a parameter which allows single-exponential fixed-parameter tractable algorithms for classical NP-hard problems.
Související projekty: