Capacity bounds for networks of broadcast channels

This paper derives new outer bounds on the capacities of networks comprised of broadcast and point-to-point channels. The results are tight in some cases, and methods for bounding their error in general are discussed. The results given demonstrate the simplicity of generalizing network coding results to networks of noisy channels using the family of network equivalence tools. The approach taken is not inherently a cut-set approach and frequently yields tighter bounds than those achieved by traditional cut-sets.