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» Matchings in hypergraphs of large minimum degree
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JGT
2006
97views more  JGT 2006»
13 years 5 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 5 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»
14 years 3 days 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 5 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