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COMMENT
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The next term is known to be 40, 41, 42 or 43 (Exoo, Radziszowski). I had a note here saying that the range had been narrowed to 40 or 41, but I cannot find the source for that remark, so I am not sure it is correct. - njas, Feb 14 2007.
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REFERENCES
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G. Berman and K. D. Fryer, Introduction to Combinatorics. Academic Press, NY, 1972, p. 175.
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 288.
R. E. Greenwood and A. M. Gleason, Combinatorial relations and chromatic graphs, Canad. J. Math., 7 (1955), 1-7.
J. L. Gross and J. Yellen, eds., Handbook of Graph Theory, CRC Press, 2004; p. 840.
J. G. Kalbfleisch, Construction of special edge-chromatic graphs, Canad. Math. Bull., 8 (1965), 575-584.
B. D. McKay, personal communication.
H. J. Ryser, Combinatorial Mathematics. Mathematical Association of America, Carus Mathematical Monograph 14, 1963, p. 42.
Jin Xu and C. K. Wong, Self-complementary graphs and Ramsey numbers I, Discrete Math., 223 (2000), 309-326.
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LINKS
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Anonymous, Ramsey's Theory
G. Exoo, Ramsey Numbers
R. Getschmann, Enumeration of Small Ramsey Graphs
I. Leader, Friends and Strangers
Math Reference Project, Ramsey Numbers
Online Dictionary of Combinatorics, Ramsey's Theorem
I. Peterson, Math Trek, Party Games
I. Peterson, Math Trek, Party Games
Stanislaw Radziszowski, Small Ramsey Numbers.
Ricardo, Ramsey Number Page
Eric Weisstein's World of Mathematics, Ramsey Number
Wikipedia, Ramsey's Theorem.
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