Lower Bounds of Some Small Bipartite Ramsey Numbers br(K2,2;Kn,n)

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Published: Jan 5, 2018
Keywords:
Bipartite Ramsey numbers, lower bounds, graphs.

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Nitiphoom Adsawatithisakul
Department of Mathematics, Faculty of Science and Technology, Nakhonratchasima Rajabhat University, Nakhonratchasima, Thailand
Waraporn Summart*
General Education Affair, Thonburi University, Thailand
Decha Samana
Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Bangkok, Thailand
Decha Samana
Centre of Excellence in Mathematics, Commission of Higher Education, Bangkok, Thailand

Abstract

For bipartite graphs  G1,G2, the bipartite Ramsey number br(G1,G2) is the smallest integer b such that any subgraph G of the complete bipartite graph Kb,b,either  G contains
a copy of G1 or its complement relative to Kb.b contains a copy of G2 . We obtained lower bounds of br(K2,2;Kn,n) for . for 6< n < 10


Keywords: Bipartite Ramsey numbers, lower bounds, graphs.


*Corresponding author: E-mail: [email protected]

Article Details

Issue
Vol. 17 No. 2 (2017)
Section
Original Research Articles

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References

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