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JGT
2006
97views more  JGT 2006»
13 years 6 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
DM
2006
103views more  DM 2006»
13 years 6 months ago
Bounds on the forcing numbers of bipartite graphs
The forcing number of a perfect matching M of a graph G is the cardinality of the smallest subset of M that is contained in no other perfect matching of G. In this paper, we demon...
Seth Kleinerman
PCI
2005
Springer
13 years 11 months ago
Maximum-Size Subgraphs of P4-Sparse Graphs Admitting a Perfect Matching
Abstract. In this paper, we address the problem of computing a maximum-size subgraph of a P4-sparse graph which admits a perfect matching; in the case where the graph has a perfect...
Stavros D. Nikolopoulos, Leonidas Palios
EJC
2006
13 years 6 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&...
JMLR
2010
115views more  JMLR 2010»
13 years 1 months ago
Polynomial-Time Exact Inference in NP-Hard Binary MRFs via Reweighted Perfect Matching
We develop a new form of reweighting (Wainwright et al., 2005b) to leverage the relationship between Ising spin glasses and perfect matchings into a novel technique for the exact ...
Nic Schraudolph