Upper bounds of Ramsey numbers

For positive integers s and t, the Ramsey number R(s, t) is the least positive integer n such that for every graph G of order n, either G contains Ks as a subgraph or G contains Kt as a subgraph. A widely known theorem, proved by Erdös, state that. In this paper, we improve the upper bounds for R(s,...

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Bibliographic Details
Main Authors: Samana D., Longani V.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-84867310928&partnerID=40&md5=3640c83f0580634d148f14927d91084d
http://cmuir.cmu.ac.th/handle/6653943832/6923
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Institution: Chiang Mai University
Language: English
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Summary:For positive integers s and t, the Ramsey number R(s, t) is the least positive integer n such that for every graph G of order n, either G contains Ks as a subgraph or G contains Kt as a subgraph. A widely known theorem, proved by Erdös, state that. In this paper, we improve the upper bounds for R(s, t). That is, we find that.