401 and beyond: improved bounds and algorithms for the Ramsey algebra search release_3urhfqluyffvblh2hyvlkywkoi

by Jeremy F. Alm

Released as a article .

2017  

Abstract

In this paper, we discuss an improvement of an algorithm to search for primes p and coset-partitions of Z/pZ* that yield Ramsey algebras over Z/pZ. We also prove an upper bound on the modulus p in terms of the number of cosets. We have, as a corollary, that there is no prime p for which there exists a partition of Z/pZ* into 13 cosets that yields a 13-color Ramsey algebra. Thus A263308(13) = 0.
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Date   2017-09-09
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arXiv  1609.01817v2
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