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Upper tails for triangles
Authors:B. DeMarco  J. Kahn
Affiliation:Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854
Abstract:With ξ the number of triangles in the usual (Erd?s‐Rényi) random graph G(m,p), p > 1/m and η > 0, we show (for some Cη > 0) equation image This is tight up to the value of Cη. © 2011 Wiley Periodicals, Inc. Random Struct. Alg., 40, 452–459, 2012
Keywords:upper tails  large deviations  random graphs  subgraph counts
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