An outer bound on the capacity region of Broadcast-Relay-Channel

In this paper, we obtain an outer bound on the capacity region of the Broadcast-Relay-Channel (BRC). BRC is a four node network with one source, one relay and two destinations. To the best of our knowledge, this work represents the first effort to find an outer bound on the capacity region of the BRC. In the proof, we jointly utilize the ideas of the outer bounds on the Broadcast Channel (BC) and also the cut-set bound. The proposed outer bound looks like the inner bound obtained by Kramer et. al for BRC.