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arxiv: math/0209087 · v1 · submitted 2002-09-09 · 🧮 math.CO

On the non-3-colourability of random graphs

classification 🧮 math.CO
keywords randomalmostbestboundcolouringcurrentedgesgraph
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We show that for c >= 2.4682, a random graph on n vertices with c n (1+o(1)) edges almost surely has no 3-colouring. This improves on the current best upper bound of 2.4947.

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