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Three-Color Ramsey Numbers of K n Dropping an Edge

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Abstract

By an edge-coloring induced by generalization of Paley graph and computer searching, we show that that Ramsey numbers of K n − e in three colors for n =  6, 7, 8, 9 are at least 472, 1102, 3208, 5962, respectively.

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References

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Authors and Affiliations

  1. College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Changxiang He

  2. Department of Mathematics, Tongji University, Shanghai, 200092, China

    Yusheng Li & Lin Dong

  3. Shanghai Harbor e-Logistics Software Co. Ltd., Shanghai, 200080, China

    Lin Dong

Authors
  1. Changxiang He
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  2. Yusheng Li
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  3. Lin Dong
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Correspondence to Lin Dong.

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He, C., Li, Y. & Dong, L. Three-Color Ramsey Numbers of K n Dropping an Edge. Graphs and Combinatorics 28, 663–669 (2012). https://doi.org/10.1007/s00373-011-1069-3

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  • DOI: https://doi.org/10.1007/s00373-011-1069-3

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