Upper tails for triangles

Details Upper tails for triangles Upper tails for triangles

2010-05-25

arxiv.org/abs/1005.4471v2

Mathematics

Probability

10 pages

Scientific paper

10.1002/rsa.20382

With $\xi$ the number of triangles in the usual (Erd\H{o}s-R\'enyi) random
graph $G(m,p)$, $p>1/m$ and $\eta>0$, we show (for some $C_{\eta}>0$)
$$\Pr(\xi> (1+\eta)\E \xi) < \exp[-C_{\eta}\min{m^2p^2\log(1/p),m^3p^3}].$$
This is tight up to the value of $C_{\eta}$.

Affiliated with

Also associated with

No associations

Rating

Upper tails for triangles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Upper tails for triangles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Upper tails for triangles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297147