Mathematics – Probability
Scientific paper
2010-03-18
Mathematics
Probability
15 pages. Title changed. To appear in Random Structures Algorithms
Scientific paper
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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