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Character sums and Ramsey properties of generalized Paley graphs. (English) Zbl 1091.05048
Summary: In a classic paper, R. J. Evans, J. R. Pulham, and J. Sheehan [J. Comb. Theory, Ser. B 30, 364–371 (1981; Zbl 0475.05049)] computed the number of complete graphs of size 4 for a special class of graphs called Paley graphs. Here we consider analogous questions for generalized Paley-type graphs.

MSC:
05C55 Generalized Ramsey theory
11L05 Gauss and Kloosterman sums; generalizations
11L10 Jacobsthal and Brewer sums; other complete character sums
11L40 Estimates on character sums
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