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math.CO1998
New Lower Bounds for Some Multicolored Ramsey Numbers
Aaron Robertson
We use finite fields and extend a result of Fan Chung to give eight new, nontrivial, lower bounds.
math.CO1998
A 2-coloring of [1,n] can have (n^2)/22 + O(n) monochromatic Schur triples, but not less!
Aaron Robertson, Doron Zeilberger
We prove that the minimum number (asymptotically) of monochromatic Schur triples that a 2-coloring of [1,n] can have is (n^2)/22 + O(n). This was solved independently by Tomasz Sch…