Rheinische Friedrich-Wilhelms-Universität Bonn Institut für Informatik
 
Abteilung V

 
Universität Bonn -> Institut für Informatik -> Abteilung V
CS-Reports 2014 Copyright 2014 Universität Bonn, Institut für Informatik, Abt. V
85346

28.02.2014

Approximate Counting of Matchings in (3,3)-Hypergraphs
Andrzej Dudek, Marek Karpinski, Andrzej Rucinski and Edyta Szymanska
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We design a fully polynomial time approximation scheme (FPTAS) for counting the number of matchings (packings) in arbitrary 3-uniform hypergraphs of maximum degree three, referred to as (3,3)-hypergraphs. It is the first polynomial time approximation scheme for that problem, which includes also, as a special case, the 3D Matching counting problem for 3-partite (3,3)-hypergraphs. The proof technique of this paper uses the general correlation decay technique and a new combinatorial analysis of the underlying structures of the intersection graphs. The proof method could be also of independent interest.

Last Change: 11/05/14 at 11:06:36
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Universität Bonn -> Institut für Informatik -> Abteilung V

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