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» Matching graphs of Hypercubes and Complete Bipartite Graphs
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ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 2 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
CORR
2008
Springer
110views Education» more  CORR 2008»
13 years 8 months ago
Perfect Matchings via Uniform Sampling in Regular Bipartite Graphs
In this paper we further investigate the well-studied problem of finding a perfect matching in a regular bipartite graph. The first non-trivial algorithm, with running time O(mn),...
Ashish Goel, Michael Kapralov, Sanjeev Khanna
JGT
2006
97views more  JGT 2006»
13 years 8 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
ARSCOM
2007
191views more  ARSCOM 2007»
13 years 8 months ago
Binomial Identities Generated by Counting Spanning Trees
We partition the set of spanning trees contained in the complete graph Kn into spanning trees contained in the complete bipartite graph Ks,t. This relation will show that any prop...
Thomas Dale Porter
DAM
2010
107views more  DAM 2010»
13 years 8 months ago
Codes from lattice and related graphs, and permutation decoding
Codes of length n2 and dimension 2n - 1 or 2n - 2 over the field Fp, for any prime p, that can be obtained from designs associated with the complete bipartite graph Kn,n and its l...
Jennifer D. Key, Bernardo Gabriel Rodrigues