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JGT
2008
92views more  JGT 2008»
15 years 1 months ago
A new upper bound for the bipartite Ramsey problem
We consider the following question: how large does n have to be to guarantee that in any two-colouring of the edges of the complete graph Kn,n there is a monochromatic Kk,k? In th...
David Conlon
170
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COLOGNETWENTE
2010
15 years 16 days ago
Bisimplicial Edges in Bipartite Graphs
Bisimplicial edges in bipartite graphs are closely related to pivots in Gaussian elimination that avoid turning zeroes into non-zeroes. We present a new deterministic algorithm to...
Matthijs Bomhoff, Bodo Manthey
DM
2010
103views more  DM 2010»
15 years 2 months ago
Degree-bounded factorizations of bipartite multigraphs and of pseudographs
For d 1, s 0 a (d,d +s)-graph is a graph whose degrees all lie in the interval {d,d +1,...,d +s}. For r 1, a 0 an (r,r+1)-factor of a graph G is a spanning (r,r+a)-subgraph of...
Anthony J. W. Hilton
JCT
2008
84views more  JCT 2008»
15 years 1 months ago
Minimally non-Pfaffian graphs
We consider the question of characterizing Pfaffian graphs. We exhibit an infinite family of non-Pfaffian graphs minimal with respect to the matching minor relation. This is in sha...
Serguei Norine, Robin Thomas