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Lower bounds for multicolor classical Ramsey numbers

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Abstract

A method is put forward to establish the lower bounds for somen-color classical Ramsey numbers

. With this method six new explicit lower boundsR 4(4) ≥458,R 3(5) ≥ 242,R 3(6)≥1070,R 3(7) ≥ 1214,R 3(8) ≥2834 andR 3(9) ≥ 5282 are obtained using a computer.

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References

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Authors and Affiliations

  1. Guangxi Computing Center, 530022, Nanning, China

    Wenlong Su

  2. Guangxi Academy of Sciences, 530031, Nanning, China

    Haipeng Luo

  3. Shanghai Jiaotong University, 200030, Shanghai, China

    Qiao Li

Authors
  1. Wenlong Su
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  2. Haipeng Luo
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  3. Qiao Li
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Project supported by Guangxi Natural Science Foundation

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Su, W., Luo, H. & Li, Q. Lower bounds for multicolor classical Ramsey numbers . Sci. China Ser. A-Math. 42, 1019–1024 (1999). https://doi.org/10.1007/BF02889502

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  • DOI: https://doi.org/10.1007/BF02889502

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