On the Complexity of Computing the Shannon Outer Bound to a Network Coding Capacity Region

Yirui Liu, John MacLaren Walsh

Abstract: A new method is presented, consisting of exclusively simple linear algebra computations, for computing the linear programming Shannon outer bound to the network coding capacity region of a directed hypergraph network. This linear algebraic formulation enables a new upper bound on the worst case complexity of computing the Shannon outer bound to a network coding capacity region to be determined.