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Ramsey数R(K_3,K_(16)-e)的一个下界 被引量:2

A New Lower Bound of Ramsey Number R(K_3,K_(16)-e)
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摘要 图论方法是研究Ramsey理论中最常用的方法,80多年的研究产生了大量的成果.Ramsey数R(G,H)是这样的最小正整数n,使得完全图K_n的边的任何一种红、蓝染色都会有一个红色边子图G,或者有一个蓝色边子图H.本文找到Ramsey数R(K_3,K_(16-e))的一个下界. Graphs offer a generalized approach to classical Ramsey theory whicll over the eighty years has turned out to be quite fruitful. The Ramsey number R(G, H) gives the solution to the party problem. The basic notion of graph Ramsey theory is: If for every edge-coloring of Kn with colors red and blue, a red G or a blue H occurs as a subgraph. We find a lower bound of R(K3, K16 - e) by computer associated.
出处 《数学的实践与认识》 CSCD 北大核心 2012年第5期203-208,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(6116305 61163037)
关键词 RAMSEY数 着色 Ramsey number graphs colorings
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参考文献5

  • 1Radziszowski S P. Small Ramsey numbers[J]. The Electronic Journal of Combinatorics (2009), DSI.12: 1-72.
  • 2Beineke L W. Wilson R J. Selected topics in graph theory. Academic press inc. (London) LTD, 1978.
  • 3Radziszowski S P. The Ramsey Numbers and R(K3Ks - e) and R(K3, K9 - e)[J]. Combinatorial Mathematics ~ Computing, 1990, 8: 137-145.
  • 4王清贤,王攻本,阎淑达.Ramsey数R(K_3,K_q-e)[J].北京大学学报(自然科学版),1998,34(1):15-20. 被引量:6
  • 5谢建民,于洪志.三色RAMSEY数R(3,4,11)的下界[J].甘肃科学学报,2007,19(2):5-8. 被引量:6

二级参考文献11

  • 1王清贤,电子工程师,1996年,增刊,130页
  • 2Ramsey F P.On a Problem of Formal Logic[J].Proc Lo nd,Math Soc,1930,30:264-286.
  • 3Greenwood R E,Gleason A M.Combinational Relations and Chrom atic Graphs[J].Canadian Journal of Mathematics,1955,7:1-7.
  • 4Radziszowski S P.Small Ramsey numbers[J].The Electronic Journal of Combinatorics,2000,DS1:7.
  • 5Exoo G.Announcement:On the Ramsey Numbers R(4,6),R(5,6) and R(3,12) Ars[J].Combinatory,1993,(35):85.
  • 6Piwakowski K.Applying Table Search to Determine New Ra msey Graphs[J].The electronic Journal of Combinatory,1996,3:1-4.
  • 7Exoo G,Radziszowski S P.Constructive and Asymptotic Lower Bo unds on Classical Ramsey Numbers[M].Manuscript,2002.
  • 8苏文龙,罗海鹏,李乔.经典Ramsey数R(4,12),R(5,11)和R(5,12)的新下界[J].科学通报,1997,42(22):2460-2460. 被引量:37
  • 9XIE Jiguo and ZHANG Zhongfu1. Lanzhou Normal College, Lanzhou 730070, China,2. Lanzhou Railway Institute, Lanzhou 730070, China.The lower bounds of classic Ramsey number R(5,9). and R (5,10)[J].Chinese Science Bulletin,1997,42(14):1232-1232. 被引量:8
  • 10张正铀,李桂清,覃健文.7个3色Ramsey数R(3,3,q)的新下界[J].甘肃科学学报,1999,11(2):10-15. 被引量:2

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