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arxiv: 1604.06513 · v1 · pith:RYMFQ6CPnew · submitted 2016-04-21 · 🧮 math.CO

On the Ramsey Numbers of Trees with Small Diameter

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keywords ramseytreesdiameternumberunsaturatedarticlebalisterdefined
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We estimate the Ramsey number r(T) = r(T,T) for various trees T, obtaining a precise value for r(T) for a large number of trees of diameter 3. Furthermore we prove that all trees of diameter 3 are Ramsey unsaturated as defined by Balister, Lehel, and Schelp in their article "Ramsey unsaturated and saturated graphs."

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