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Wednesday 30 March 2011, 10:00-11:00
Sharp threshold for percolation on expanders
â ī¸ Important: Discrete Analysis
- đ¤ Speaker: Lugosi, G (Barcelona)
- đ Date & Time: Wednesday 30 March 2011, 10:00 - 11:00
- đ Venue: Seminar Room 1, Newton Institute
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Mustapha Amrani
Abstract
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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