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JGT
2006
97views more  JGT 2006»
14 years 11 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»
14 years 12 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
15 years 5 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
14 years 11 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»
14 years 6 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