A Multi-Hop Framework for Multi-Source, Multi-Relay, All-Cast Channels
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The decode-forward region is characterized for multi-source, multi-relay, all-cast channels with independent input distributions. Flow decompositions are introduced as abstractions of the encoding/decoding schemes at each node that recover rate vectors in the region. An arbitrary collection of flow decompositions may or may not be causal. Necessary and sufficient conditions are derived that determine when an equivalent collection of causal flow decompositions exists.
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