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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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
2014
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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 |
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. |
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