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» On Perfect Matching Coverings and Even Subgraph Coverings
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DM
2010
102views more  DM 2010»
13 years 5 months ago
Covering graphs with matchings of fixed size
Let m be a positive integer and let G be a graph. We consider the question: can the edge set E(G) of G be expressed as the union of a set M of matchings of G each of which has siz...
David Cariolaro, Hung-Lin Fu
CORR
2011
Springer
188views Education» more  CORR 2011»
13 years 14 days ago
Planar Cycle Covering Graphs
We describe a new variational lower-bound on the minimum energy configuration of a planar binary Markov Random Field (MRF). Our method is based on adding auxiliary nodes to every...
Julian Yarkony, Alexander T. Ihler, Charless C. Fo...
DAM
2010
111views more  DAM 2010»
13 years 5 months ago
Covering line graphs with equivalence relations
An equivalence graph is a disjoint union of cliques, and the equivalence number eq(G) of a graph G is the minimum number of equivalence subgraphs needed to cover the edges of G. W...
Louis Esperet, John Gimbel, Andrew King
DMCS
2003
13 years 6 months ago
A Reciprocity Theorem for Monomer-Dimer Coverings
The problem of counting the number of monomer-dimer coverings of a lattice comes from the field of statistical mechanics. It has only been shown to be exactly solved for the speci...
Nick Anzalone, John Baldwin, Ilya Bronshtein, T. K...
RECOMB
2004
Springer
14 years 5 months ago
Perfect phylogeny and haplotype assignment
This paper is concerned with the reconstruction of perfect phylogenies from binary character data with missing values, and related problems of inferring complete haplotypes from h...
Eran Halperin, Richard M. Karp