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On the Ramsey Numbers of Trees with Small Diameter
<span title="2011-10-11">2011</span>
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<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/yxooi3wjmbgqtbp7l4evjeuj4i" style="color: black;">Graphs and Combinatorics</a>
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<span title="2016-04-21">2016</span>
<span class="release-stage" >pre-print</span>
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1604.06513v1">arXiv:1604.06513v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ryymf2vumnd6xlyu5uqrkqjzi4">fatcat:ryymf2vumnd6xlyu5uqrkqjzi4</a> </span>
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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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