The large deviation principle for the Erdős-Rényi random graph

  title={The large deviation principle for the Erdős-R{\'e}nyi random graph},
  author={Sourav Chatterjee and S. R. S. Varadhan},
  journal={Eur. J. Comb.},
A large deviation principle for the Erdős–Rényi uniform random graph
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  • S. Chatterjee
  • Computer Science, Mathematics
    Random Struct. Algorithms
  • 2012
This paper solves the problem of sharp large deviation estimates for the upper tail of the number of triangles in an Erdős‐Rényi random graph, by establishing a logarithmic factor in the exponent
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