Estimation of Upper Bound of Generalized Ramsey Numbers

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Estimation of Upper Bound of Generalized Ramsey Numbers
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                        SHEN JianSHEN Jian
Department of Mathematics, Tongji University, Shanghai 200092, China;The School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
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SUN YuqinSUN Yuqin
Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090，China
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Abstract:

Let f1, f2,…, fk be graph parameters.This paper presents an estimation of upper bound of generalized Ramsey numbers r(f1≥n1, f2≥n2,…,fk≥nk) by induction.Based on the definition of the mixed Ramseynumber v(f; m; H),the paper presents an upper bound of the mixed Ramseynumber and an expression of v(f; m; H) when the graph parameter is χF.

Key words:Ramsey number; generalized Ramsey numbers; mixed Ramsey number

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SHEN Jian, SUN Yuqin. Estimation of Upper Bound of Generalized Ramsey Numbers[J].同济大学学报(自然科学版),2009,37(1):

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