On the fixed-parameter enumerability of cluster editing
Paper in proceedings, 2005

Cluster Editing is the problem of changing a graph G by at most k edge insertions or deletions into a disjoint union of cliques. The problem is motivated from computational biology and known to be fixed-parameter tractable (FPT). We study the enumeration of all solutions with a minimal set of edge changes. Enumerations can support efficient decisions between ambiguous solutions. We prove that all minimal solutions differ only on a so-called full kernel of at most k^2/4 vertices. This bound is tight. For ambiguous edges we get an optimal bound up to a constant factor. Finally we give an algorithm that outputs a compressed enumeration in O(2.4^k) time.

parameterized complexity




Peter Damaschke

Chalmers, Computer Science and Engineering (Chalmers), Computing Science (Chalmers)

31st International Workshop on Graph-Theoretic Concepts in Computer Science WG 2005, Lecture Notes in Computer Science

Vol. 3787 283-294

Subject Categories

Computer Science



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