The edge correlation of random forests

Tue, 17/02/2009
14:30
Dudley Stark (QMUL) Combinatorial Theory Seminar Add to calendar L3
The conjecture was made by Pemantle that a forest chosen uniformly at random from all forests in any finite graph G has the edge-negative association property. We use enumerative methods to show that this conjecture is true for n large enough when G is a complete graph on n vertices and derive related results for random trees.