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» Matchings in hypergraphs of large minimum degree
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JGT
2006
97views more  JGT 2006»
13 years 4 months ago
Matchings in hypergraphs of large minimum degree
It is well known that every bipartite graph with vertex classes of size n whose minimum degree is at least n/2 contains a perfect matching. We prove an analogue of this result for...
Daniela Kühn, Deryk Osthus
EJC
2006
13 years 4 months ago
Perfect matchings in uniform hypergraphs with large minimum degree
A perfect matching in a k-uniform hypergraph on n vertices, n divisible by k, is a set of n/k disjoint edges. In this paper we give a sufficient condition for the existence of a p...
Vojtech Rödl, Andrzej Rucinski, Endre Szemer&...
ISAAC
2009
Springer
133views Algorithms» more  ISAAC 2009»
13 years 11 months ago
Computing Large Matchings in Planar Graphs with Fixed Minimum Degree
Robert Franke, Ignaz Rutter, Dorothea Wagner
ICALP
2009
Springer
14 years 5 months ago
SDP-Based Algorithms for Maximum Independent Set Problems on Hypergraphs
Abstract. This paper deals with approximations of maximum independent sets in non-uniform hypergraphs of low degree. We obtain the first performance ratio that is sublinear in term...
Elena Losievskaja, Geir Agnarsson, Magnús M...
COMBINATORICS
2006
156views more  COMBINATORICS 2006»
13 years 4 months ago
Total Domination and Matching Numbers in Claw-Free Graphs
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
Michael A. Henning, Anders Yeo