Sharp Concentration of Hitting Size for Random Set Systems
Probability
2012-05-28 v2 Combinatorics
Abstract
Consider the random set system of {1,2,...,n}, where each subset in the power set is chosen independently with probability p. A set H is said to be a hitting set if it intersects each chosen set. The second moment method is used to exhibit the sharp concentration of the minimal size of H for a variety of values of p.
Cite
@article{arxiv.1201.5097,
title = {Sharp Concentration of Hitting Size for Random Set Systems},
author = {Jessie Deering and Anant Godbole and William Jamieson and Lucia Petito},
journal= {arXiv preprint arXiv:1201.5097},
year = {2012}
}
Comments
11 pages