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New lower bounds of classical Ramsey numbersR(6, 12),R(6, 14) andR(6, 15)

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Chinese Science Bulletin

Abstract

Three new cyclic graphs are constructed by using a computer, and the lower bounds of three Ramsey numbers obtained:R(6,12) ⩾ 224,R(6,14) ⩾ 258,R(6,15) ⩾ 338, which fill in three blanks in the table of bounds of Ramsey numbers.

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References

  1. Radziszowski, S. P., Small Ramsey numbers,The Electronic Journal of Combinatorics, 1994, 1: 1.

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  4. Su Wenlong, Luo Haipeng, Li Qiao, New lower bounds of classiccal Ramsey numbersR (4. 12).R (5.11) and R(5,12).Chinese Science Bulletin, 1997, 42(21):

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Authors and Affiliations

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

    Luo Haipeng

  2. Wuzhou First Middle School, 543002, Wuzhou, China

    Su Wenlong

  3. Shanghai Jiaotong University, 200030, Shanghai, China

    Li Qiao

Authors
  1. Luo Haipeng
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  2. Su Wenlong
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  3. Li Qiao
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Luo, H., Su, W. & Li, Q. New lower bounds of classical Ramsey numbersR(6, 12),R(6, 14) andR(6, 15). Chin. Sci. Bull. 43, 817–818 (1998). https://doi.org/10.1007/BF03182742

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  • DOI: https://doi.org/10.1007/BF03182742

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