Semidefinite Programming and Ramsey Numbers
نویسندگان
چکیده
We use the theory of flag algebras to find new upper bounds for several small graph and hypergraph Ramsey numbers. In particular, we prove the exact values R(K− 4 ,K − 4 ,K − 4 ) = 28, R(K8, C5) = 29, R(K9, C6) = 41, R(Q3, Q3) = 13, R(K3,5,K1,6) = 17, R(C3, C5, C5) = 17, and R(K− 4 ,K − 5 ; 3) = 12, and in addition improve many additional upper bounds.
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