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  • 标题:Generalized Ramsey numbers for paths in <mml:math alttext="$2$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>2</mml:mn></mml:math>-chromatic graphs
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  • 作者:R. Meenakshi ; P. S. Sundararaghavan
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1986
  • 卷号:9
  • DOI:10.1155/S0161171286000339
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Chung and Liu have defined the d-chromatic Ramsey number as follows. Let 1&#8804;d&#8804;c and let t=(cd). Let 1,2,&#8230;,t be the ordered subsets of d colors chosen from c distinct colors. Let G1,G2,&#8230;,Gt be graphs. The d-chromatic Ramsey number denoted by rdc(G1,G2,&#8230;,Gt) is defined as the least number p such that, if the edges of the complete graph Kp are colored in any fashion with c colors, then for some i, the subgraph whose edges are colored in the ith subset of colors contains a Gi. In this paper it is shown that r23(Pi,Pj,Pk)=[(4k
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