Capacity of Sum-networks for Different Message AlphabetsarXiv
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AbstractA sum-network is a directed acyclic network in which all terminal nodes demand the `sum' of the independent information observed at the source nodes. Many characteristics of the well-studied multiple-unicast network communication problem also hold for sum-networks due to a known reduction between instances of these two problems. Our main result is that unlike a multiple unicast network, the coding capacity of a sum-network is dependent on the message alphabet. We demonstrate this using a construction procedure and show that the choice of a message alphabet can reduce the coding capacity of a sum-network from 1 to close to 0.
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Citation InformationArdhendu Tripathy and Aditya Ramamoorthy. "Capacity of Sum-networks for Different Message Alphabets" arXiv (2015) p. 1504.05618
Available at: http://works.bepress.com/ardhendu-tripathy/4/