Even faster parameterized cluster deletion and cluster editing
Artikel i vetenskaplig tidskrift, 2011

Cluster Deletion and Cluster Editing ask to transform a graph by at most k edge deletions or edge edits, respectively, into a cluster graph, i.e., disjoint union of cliques. Equivalently, a cluster graph has no conflict triples, i.e., two incident edges without a transitive edge. We solve the two problems in time O(1.415^k) and O(1.76^k), respectively. These results round off our earlier work by considerably improved time bounds. For Cluster Deletion we use a technique that cuts away small connected components that do no longer contribute to the exponential part of the time complexity. As this idea is simple and versatile, it may lead to improvements for several other parameterized graph problems. The improvement for Cluster Editing is achieved by using the full power of an earlier structure theorem for graphs where no edge is in three conflict triples.

cluster editing

graph algorithms

parameterized complexity

Författare

Sebastian Böcker

Peter Damaschke

Chalmers, Data- och informationsteknik, Datavetenskap

Information Processing Letters

0020-0190 (ISSN)

Vol. 111 717-721

Fundament

Grundläggande vetenskaper

Ämneskategorier

Datavetenskap (datalogi)

DOI

10.1016/j.ipl.2011.05.003