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arxiv: 1703.08768 · v2 · pith:AI7SOW6Qnew · submitted 2017-03-26 · 🧮 math.CO

R(5,5) le 48

classification 🧮 math.CO
keywords boundcataloguecompleteextremalgraphsimprovenumberramsey
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We improve the upper bound on the Ramsey number $R(5,5)$ from $R(5,5) \le 49$ to $R(5,5) \le 48$. We also complete the catalogue of extremal graphs for $R(4,5)$.

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