Mathieu, Pierre; Temmel, Christoph - In: Stochastic Processes and their Applications 122 (2012) 3, pp. 1129-1153
Consider the class of k-independent bond or site percolations with parameter p on a tree T. We derive tight bounds on p for both almost sure percolation and almost sure nonpercolation. The bounds are continuous functions of k and the branching number of T. This extends previous results by Lyons...