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» Matching graphs of Hypercubes and Complete Bipartite Graphs
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GC
2011
Springer
14 years 6 months ago
Ramsey Numbers of Some Bipartite Graphs Versus Complete Graphs
The Ramsey number r(H, Kn) is the smallest positive integer N such that every graph of order N contains either a copy of H or an independent set of size n. The Tur´an number ex(m,...
Tao Jiang, Michael Salerno
COMBINATORICS
2002
93views more  COMBINATORICS 2002»
14 years 11 months ago
On a Theorem of Erdos, Rubin, and Taylor on Choosability of Complete Bipartite Graphs
Erdos, Rubin, and Taylor found a nice correspondence between the minimum order of a complete bipartite graph that is not r-choosable and the minimum number of edges in an r-unifor...
Alexandr V. Kostochka
AMAI
2005
Springer
14 years 11 months ago
Generalizations of matched CNF formulas
A CNF formula is called matched if its associated bipartite graph (whose vertices are clauses and variables) has a matching that covers all clauses. Matched CNF formulas are satisf...
Stefan Szeider
ECCC
2010
124views more  ECCC 2010»
14 years 6 months ago
A counterexample to the Alon-Saks-Seymour conjecture and related problems
Consider a graph obtained by taking an edge disjoint union of k complete bipartite graphs.
Hao Huang, Benny Sudakov
DAM
2002
135views more  DAM 2002»
14 years 11 months ago
Matchings in colored bipartite networks
In K(n, n) with edges colored either red or blue, we show that the problem of finding a solution matching, a perfect matching consisting of exactly r red edges, and (n - r) blue e...
Tongnyoul Yi, Katta G. Murty, Cosimo Spera