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A note on the Ramsey number for small graphs. (English) Zbl 1487.05176

MSC:

05C55 Generalized Ramsey theory
05C35 Extremal problems in graph theory
Full Text: DOI

References:

[1] Bataineh, M. S.; Vetrík, T.; Jaradat, M. M. M.; Rabaiah, A. M. M., The Ramsey number for two graphs of order 5, J. Discrete Math. Sci. Cryptogr, 21, 1523-1528 (2018) · Zbl 1481.05107 · doi:10.1080/09720529.2018.1479179
[2] Bolze, R.; Harborth, H., The Ramsey number r(K_4 - x, K_5), Theory and Application of Graphs, 109-116 (1981), Kalamazoo, New York · Zbl 0463.05051
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[4] Chvátal, V.; Harary, F., Generalized Ramsey theory for graphs, II. Small diagonal numbers, Proc. Amer. Math. Soc, 32, 389-394 (1972) · Zbl 0229.05116 · doi:10.2307/2037824
[5] Clancy, M., Some small Ramsey numbers, J. Graph Theory, 1, 89-91 (1977) · Zbl 0351.05121 · doi:10.1002/jgt.3190010117
[6] Hendry, G. R. T., Small Ramsey numbers II. Critical colorings for r(C_5 + e, K_5), Quaest. Math., 249-258 (1994) · Zbl 0804.05035 · doi:10.1080/16073606.1994.9631763
[7] Jaradat, M. M. M.; Bataineh, M. S.; Vetrík, T.; Rabaiah, A. M. M., A note on the Ramsey numbers for theta graphs versus the wheel of order 5, AKCE Int. J. Graphs Comb, 15, 187-189 (2018) · Zbl 1403.05095 · doi:10.1016/j.akcej.2017.08.002
[8] Surahmat, E.; Baskoro, T.; Broersma, H. J., The Ramsey numbers of large cycles versus small wheels, Integers, 4, 1-9 (2004) · Zbl 1061.05063
[9] Surahmat, E.; Baskoro, T.; Tomescu, I., The Ramsey numbers of large cycles versus wheels, Discrete Math, 306, 3334-3337 (2006) · Zbl 1110.05070 · doi:10.1016/j.disc.2006.06.006
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