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,...

Full description

Saved in:
Bibliographic Details
Main Authors: Decha Samana, Vites Longani
Format: Journal
Published: 2018
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84867310928&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/51784
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
id th-cmuir.6653943832-51784
record_format dspace
spelling th-cmuir.6653943832-517842018-09-04T06:09:00Z Upper bounds of Ramsey numbers Decha Samana Vites Longani Mathematics 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. 2018-09-04T06:09:00Z 2018-09-04T06:09:00Z 2012-10-16 Journal 1312885X 2-s2.0-84867310928 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84867310928&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51784
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Decha Samana
Vites Longani
Upper bounds of Ramsey numbers
description 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.
format Journal
author Decha Samana
Vites Longani
author_facet Decha Samana
Vites Longani
author_sort Decha Samana
title Upper bounds of Ramsey numbers
title_short Upper bounds of Ramsey numbers
title_full Upper bounds of Ramsey numbers
title_fullStr Upper bounds of Ramsey numbers
title_full_unstemmed Upper bounds of Ramsey numbers
title_sort upper bounds of ramsey numbers
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84867310928&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/51784
_version_ 1681423832382963712