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Two-player turn-based perfect-information games, surreal numbers, impartial games and Sprague-Grundy theory, partizan games

6 votes

Determine or estimate the number of maximal triangle-free graphs on $n$ vertices

This question was recently solved by Balogh & Petrickova. Douglas Zare's bound is tight (apart from the $o(1)$ term). See http://arxiv.org/abs/1409.8123
Adam Zsolt Wagner's user avatar