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» Matching graphs of Hypercubes and Complete Bipartite Graphs
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GC
2011
Springer
13 years 4 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»
13 years 9 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
13 years 9 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»
13 years 4 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»
13 years 9 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