Mathew D. Penrose, Andrew R. Wade, Random Minimal Directed Spanning Trees and Dickman-Type Distributions, Advances in Applied Probability, Vol. 36, No. 3 (Sep., 2004 ...

Along the way, we'll talk about random spanning trees, modulus, effective resistance, minimal spanning trees, densest subgraphs, minimum feasible partitions, and the solution of a secure network ...

We prove a central limit theorem for the length of the minimal spanning tree of the set of sites of a Poisson process of intensity λ in [ 0, 1]2 as λ → ∞. As observed previously by Ramey, the main ...