Discussiones
Mathematicae Graph Theory 23(1) (2003) 141-158
DOI: https://doi.org/10.7151/dmgt.1191
THE RAMSEY NUMBER r(C7,C7,C7)
Ralph Faudree
Department of Mathematical Science |
Annette Schelten and Ingo
Schiermeyer
Fakultät für Mathematik und Informatik |
Abstract
Bondy and Erdős [2] have conjectured that the Ramsey number for three cycles Ck of odd length has value r(Ck,Ck,Ck)=4k−3. We give a proof that r(C7,C7,C7)=25 without using any computer support.Keywords: Ramsey numbers, extremal graphs.
2000 Mathematics Subject Classification: 05C55, 05C35.
Received 30 July 2001References
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Revised 18 January 2002
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