E. Eiben,R. Ganian, O. Kwon:

"A Single-Exponential Fixed-Parameter Algorithm for Distance-Hereditary Vertex Deletion";

Talk: International Symposium on Mathematical Foundations of Computer Science (MFCS), Krakau, Polen; 2016-08-22 - 2016-08-26; in: "Proceedings of the 41st International Symposium on Mathematical Foundations of Computer Science", (2016), ISBN: 978-3-95977-016-3; 1 - 14.

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 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.

http://publik.tuwien.ac.at/files/publik_255923.pdf

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