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Difference Ramsey Numbers and Issai Numbers

Difference Ramsey numbers and Issai numbers
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2000Embargo end date: 01 Jan 1999 English Publisher:Elsevier BVJournal:Advances in Applied Mathematics, volume 25, pages 153-162 (issn: 0196-8858, Copyright policy )
Authors: Aaron Robertson;

doi: 10.1006/aama.2000.0678 , 10.48550/arxiv.math/9904023

arXiv: math/9904023

Difference Ramsey Numbers and Issai Numbers

Abstract

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.

10 pages

Related Organizations
Keywords

difference graph, Ramsey number, Applied Mathematics, Ramsey theory, Generalized Ramsey theory, Schur numbers, FOS: Mathematics, edge-coloring, Mathematics - Combinatorics, Combinatorics (math.CO), 05D10

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
Green
hybrid