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COMBINATORICS
2002
93views more  COMBINATORICS 2002»
13 years 7 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
GC
2011
Springer
13 years 2 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
DAM
1999
81views more  DAM 1999»
13 years 7 months ago
On the Extension of Bipartite to Parity Graphs
Parity graphs form a superclass of bipartite and distance-hereditary graphs. Since their introduction, all the algorithms proposed as solutions to the recognition problem and othe...
Serafino Cicerone, Gabriele Di Stefano
ISAAC
2005
Springer
93views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Representation of Graphs by OBDDs
Abstract. In this paper, the space requirements for the OBDD representation of certain graph classes, specifically cographs, several types of graphs with few P4s, unit interval gr...
Robin Nunkesser, Philipp Woelfel
ENDM
2007
104views more  ENDM 2007»
13 years 7 months ago
Matching graphs of Hypercubes and Complete Bipartite Graphs
Kreweras’ conjecture [9] asserts that every perfect matching of the hypercube Qd can be extended to a Hamiltonian cycle of Qd. We [5] proved this conjecture but here we present ...
Jirí Fink