Abstract

In this paper we show that for n ≥ 4, R(3, 3, ⋖, 3) < + 1. Consequently, a new bound for Schur numbers is also given. Also, for even n ≥ 6, the Schur number Sn is bounded by Sn < - n + 2. © 1997 John Wiley & Sons, Inc. J Graph Theory 26: 119–122, 1997

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