Journal of Applied Probability, Vol. 47, No. 3 (SEPTEMBER 2010), pp. 826-840 (15 pages) A random intersection graph G(n, m, p) is defined on a set 𝓥 of n vertices. There is an auxiliary set 𝓦 ...

Randomly generated subsets of a point-set A0 in the k-dimensional Euclidean space Rk are investigated. Under suitable restrictions the probability is determined that a randomly located set which hits ...