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On the non-3-colourability of random graphs

O. Dubois·J. Mandler
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Abstract

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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O. Dubois, J. Mandler. 2002-09-09. On the non-3-colourability of random graphs. https://arxiv.org/abs/math/0209087

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