Article contents
Sub-Gaussian Tails for the Number of Triangles in G(n, p)
Published online by Cambridge University Press: 14 May 2010
Abstract
Let X be the random variable that counts the number of triangles in the binomial random graph G(n, p). We show that for some positive constant c, the probability that X deviates from its expectation by at least λVar(X)1/2 is at most e−cλ2, provided p = o(1), λ = ω() and λ ≤ (n3p3 + n4p5)1/6.
- Type
- Paper
- Information
- Copyright
- Copyright © Cambridge University Press 2010
References
- 2
- Cited by