On the Ramsey numbers R(3, 8) and R(3, 9) |
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| Authors: | Charles M Grinstead Sam M Roberts |
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| Affiliation: | 1. Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061 USA;2. Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755 USA |
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| Abstract: | ![]()
Using methods developed by Graver and Yackel, and various computer algorithms, we show that 28 ≤ R(3, 8) ≤ 29, and R(3, 9) = 36, where R(k, l) is the classical Ramsey number for 2-coloring the edges of a complete graph. |
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| Keywords: | Current addresses are: Charles M. Grinstead Department of Mathematics Swarthmore College Swarthmore Pa. 19081 and Sam Roberts Boalt Hall University of California Berkeley Calif. 94720. All correspondence should be with Dr. Grinstead. |
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