University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Sharp threshold for percolation on expanders

Sharp threshold for percolation on expanders

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Mustapha Amrani.

Discrete Analysis

In this joint work with I. Benjamini, S. Boucheron, and R. Rossignol, we study the appearance of the giant component in random subgraphs of a given finite graph G = (V,E) in which each edge is present independently with probability p. We show that if G is an expander with vertices of bounded degree, then for any c in (0,1), the property that the random subgraph contains a giant component of size c|V | has a sharp threshold. The main technical tools are based on variance inequalities for functions of independent random variables.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity