Lower bounds of Ramsey numbers R(k,l)
For 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) ≥...
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th-cmuir.6653943832-597312018-09-10T03:20:33Z Lower bounds of Ramsey numbers R(k,l) Decha Samana Vites Longani Mathematics For 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. 2018-09-10T03:20:33Z 2018-09-10T03:20:33Z 2009-11-01 Journal 19929986 19929978 2-s2.0-77956985650 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77956985650&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59731 |
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Mathematics Decha Samana Vites Longani Lower bounds of Ramsey numbers R(k,l) |
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For 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. |
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Journal |
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Decha Samana Vites Longani |
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Decha Samana Vites Longani |
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Decha Samana |
| title |
Lower bounds of Ramsey numbers R(k,l) |
| title_short |
Lower bounds of Ramsey numbers R(k,l) |
| title_full |
Lower bounds of Ramsey numbers R(k,l) |
| title_fullStr |
Lower bounds of Ramsey numbers R(k,l) |
| title_full_unstemmed |
Lower bounds of Ramsey numbers R(k,l) |
| title_sort |
lower bounds of ramsey numbers r(k,l) |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77956985650&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59731 |
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