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arXiv · 0707.3394

Turan's theorem inverted

Vladimir Nikiforov
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Abstract

Turan's theorem implies that every graph of order n with more edges than the r-partite Turan graph contains a complete graph of order r+1. We show that the same premise implies the existence of much larger graphs. We also prove corresponding stability theorems. These results complete work started by Erdos in 1963.

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Vladimir Nikiforov. 2007-11-22. Turan's theorem inverted. https://arxiv.org/abs/0707.3394

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