Critical random forests

Let F(N, m) denote a random forest on a set of N vertices, chosen uniformly from all forests with m edges. Let F(N, p) denote the forest obtained by conditioning the Erd˝os-R´enyi graph G(N, p) to be acyclic. We describe scaling limits for the largest components of F(N, p) and F(N, m), in the critic...

Full description

Bibliographic Details
Main Authors: Martin, JB, Yeo, D
Format: Journal article
Language:English
Published: Instituto Nacional de Matemática Pura e Aplicada 2018