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Upper bounds for ramsey numbers R(3, 3, ?, 3) and Schur numbers

✍ Scribed by Wan, Honghui


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
81 KB
Volume
26
Category
Article
ISSN
0364-9024

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✦ Synopsis


In this paper we show that for n β‰₯ 4, R(3, 3, . . . , 3) < n!( e-e -1 + 3 2 ) + 1. Consequently, a new bound for Schur numbers is also given. Also, for even n β‰₯ 6, the Schur number S n is bounded by S n < n!( e-e -1 + 3 2 ) -n + 2.


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