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Canonical Pattern Ramsey Numbers

✍ Scribed by Maria Axenovich; Robert E. Jamison


Publisher
Springer Japan
Year
2005
Tongue
English
Weight
400 KB
Volume
21
Category
Article
ISSN
0911-0119

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We define a weak form of canonical colouring, based on that of P. Erdo s and R. Rado (1950, J. London Math. Soc. 25, 249 255). This yields a class of unordered canonical Ramsey numbers CR(s, t), again related to the canonical Ramsey numbers ER(2; s) of Erdo s and Rado. We present upper and lower bou

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We present a recursive algorithm for finding good lower bounds for the classical Ramsey numbers. Using notions from this algorithm we then give some results for generalized Schur numbers, which we call Issai numbers.