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Ngai-Yeung and Erez-Feder independently derived the capacity region of network coding with a single source and two sinks, in which a common message is sent from the source to both sinks but each private message is sent to only the corresponding sink. In this paper, it is shown that the above capacity region can be achieved by separate linear coding such that three routes of private and common messages...
We study the computation of the arithmetic sum of the q-ary source messages in the reverse butterfly network. Specifically, we characterize the maximum rate at which the message sum can be computed at the receiver and demonstrate that linear coding is suboptimal.
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