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European Journal of Combinatorics
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European Journal of Combinatorics
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http://dx.doi.org/10.1006/eujc...
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Claim

New Upper and Lower Bounds for Ramsey Numbers

New upper and lower bounds for Ramsey numbers
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2001 English Publisher:Elsevier BVJournal:European Journal of Combinatorics, volume 22, pages 101-105 (issn: 0195-6698, Copyright policy )
Authors: Yi Ru Huang; Jian Sheng Yang;

doi: 10.1006/eujc.2000.0438

New Upper and Lower Bounds for Ramsey Numbers

Abstract

The Ramsey number \(R(G_1, G_2)\) is the smallest integer \(p\) such that for any graph \(G\) on \(p\) vertices either \(G\) contains the graph \(G_1\) or the complement \(\overline G\) of \(G\) contains the graph \(G_2\). The paper presents some new upper and lower bound formulas for \(R(G_1,G_2)\) and \(R(K_m, K_n)\).

Related Organizations
Keywords

Computational Theory and Mathematics, Ramsey number, Generalized Ramsey theory, Ramsey graph, Geometry and Topology, bound formulas, Theoretical Computer Science

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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!
1
Average
Average
Average
hybrid