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» A Bound for Size Ramsey Numbers of Multi-partite Graphs
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DM
2000
158views more  DM 2000»
13 years 6 months ago
Bipartite Ramsey numbers and Zarankiewicz numbers
The Zarankiewicz number z(s, m) is the maximum number of edges in a subgraph of K(s, s) that does not contain K(m, m) as a subgraph. The bipartite Ramsey number b(m, n) is the lea...
Wayne Goddard, Michael A. Henning, Ortrud R. Oelle...
GC
2011
Springer
13 years 1 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
JCT
2006
168views more  JCT 2006»
13 years 6 months ago
Mono-multi bipartite Ramsey numbers, designs, and matrices
Eroh and Oellermann defined BRR(G1, G2) as the smallest N such that any edge coloring of the complete bipartite graph KN,N contains either a monochromatic G1 or a multicolored G2....
Paul N. Balister, András Gyárf&aacut...
DAM
2007
70views more  DAM 2007»
13 years 6 months ago
Path-kipas Ramsey numbers
For two given graphs F and H, the Ramsey number R(F, H) is the smallest positive integer p such that for every graph G on p vertices the following holds: either G contains F as a ...
A. N. M. Salman, H. J. Broersma
DM
2010
140views more  DM 2010»
13 years 6 months ago
Online Ramsey games for triangles in random graphs
In the online F-avoidance edge-coloring game with r colors, a graph on n vertices is generated by at each stage randomly adding a new edge. The player must color each new edge as ...
József Balogh, Jane Butterfield