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arxiv: 0812.2386 · v2 · pith:XSFWNNZSnew · submitted 2008-12-12 · 🧮 math.CO · cs.DM

A note on regular Ramsey graphs

classification 🧮 math.CO cs.DM
keywords regularthereabsoluteconstantempheveryexistsgraph
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We prove that there is an absolute constant $C>0$ so that for every natural $n$ there exists a triangle-free \emph{regular} graph with no independent set of size at least $C\sqrt{n\log n}$.

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