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arXiv · 1003.3498

The missing log in large deviations for triangle counts

Sourav Chatterjee
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Abstract

This paper solves the problem of sharp large deviation estimates for the upper tail of the number of triangles in an Erdos-Renyi random graph, by establishing a logarithmic factor in the exponent that was missing till now. It is possible that the method of proof may extend to general subgraph counts.

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Sourav Chatterjee. 2010-03-18. The missing log in large deviations for triangle counts. https://arxiv.org/abs/1003.3498

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