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dc.contributor.authorDecha Samanaen_US
dc.contributor.authorVites Longanien_US
dc.date.accessioned2018-09-10T03:20:33Z-
dc.date.available2018-09-10T03:20:33Z-
dc.date.issued2009-11-01en_US
dc.identifier.issn19929986en_US
dc.identifier.issn19929978en_US
dc.identifier.other2-s2.0-77956985650en_US
dc.identifier.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77956985650&origin=inwarden_US
dc.identifier.urihttp://cmuir.cmu.ac.th/jspui/handle/6653943832/59731-
dc.description.abstractFor positive integers k and l, the Ramsey number R(k,l) is the least positive integer n such that for every graph G of order n, either G contains K k as a subgraph or Ḡ contains K l as a subgraph. In this paper it is shown that Ramsey numbers R(k,l) ≥ 2kl - 3k - 3l + 6 when 3≤k≤l, and R(k,l) ≥ 2kl - 3k + 2l - 12 when 5≤k≤l. © International Association of Engineers.en_US
dc.subjectMathematicsen_US
dc.titleLower bounds of Ramsey numbers R(k,l)en_US
dc.typeJournalen_US
article.title.sourcetitleIAENG International Journal of Applied Mathematicsen_US
article.volume39en_US
article.stream.affiliationsChiang Mai Universityen_US
Appears in Collections:CMUL: Journal Articles

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