New lower bounds of classical Ramsey numbersR(6, 12),R(6, 14) andR(6, 15) |
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| Authors: | Haipeng Luo Wenlong Su Qiao Li |
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| Affiliation: | LUO Haipeng 1, SU Wenlong 2 and LI Qiao 3 1. Guangxi Academy of Sciences, Nanning 530031, China; 2. Wuzhou First Middle School, Wuzhou 543002, China; 3. Shanghai Jiaotong University, Shanghai 200030, China |
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| 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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| Keywords: | Ramsey number lower bound cyclic graph. |
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