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二色Ramsey数R(5,29)的下界

Lower Bound for Two-colour Ramsey Number R(5,29)
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摘要 改进素数阶循环图的方法 ,得到 1个二色 Ram sey数的新下界 :R (5 ,2 9)≥ 6 14 . A method on prime order cyclic graph is improved.A new lower bound for two-colour Ramsey number is obtained:R(5,29)≥614.
出处 《广西科学院学报》 2004年第4期205-206,209,共3页 Journal of Guangxi Academy of Sciences
基金 国家自然科学基金 (10 1610 0 3 ) 广西自然科学基金 (桂科自0 44 70 10 )资助项目 .
关键词 RAMSEY数 下界 循环图 素数 方法 改进 Ramsey number,lower bound,prime order cyclic graph
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参考文献7

  • 1Radziszowski S P. Small Ramsey numbers. The Electronic Journal of Combinatorics, 2004 ,DS1#10:1-48.
  • 2Su Wenlong,Li Qiao,Luo Haipeng, et al. Lower bounds of Ramsey numbers based on cubic residues. Discrete Mathematics, 2002, (250): 197- 209.
  • 3Li Guiqing,Su Wenlong,Luo Haipeng. Edge colorings of the complete graph K149 and the lower bounds of three Ramsey numbers. Discrete Applied Mathematics, 2003,(126):167-179.
  • 4Su Wenlong,Luo Haipeng, Zhang Zhengyou,et al. New lower bounds of fifteen classical Ramsey numbers.Australasian Journal of Combinatorics, 1999, (19): 91 -99.
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  • 7Luo Haipeng,Su Wenlong,Li Zhenchong. The properties of self-complementary graphs and new lower bounds for diagonal Ramsey numbers. Australasian Journal of Combinatorics, 2002, (25): 103- 116.

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