Ramsey graphs and block designs |
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Authors: | TD Parsons |
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Institution: | The Pennsylvania State University, University Park, Pennsylvania 16802, USA |
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Abstract: | Symmetric (ν, κ, λ)-block designs admitting polarity maps are shown to be closely related to certain Ramsey numbers for bipartite graphs. In particular, if there exists a (ν, κ, λ)-difference set in an abelian group of order ν, then the Ramsey number R(K2,λ+1, K1,ν?k+1) is either 1 + ν or 2 + ν. |
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