TY - GEN
T1 - Communicating the sum of sources in a 3-sources/3-terminals network; revisited
AU - Langberg, Michael
AU - Ramamoorthy, Aditya
PY - 2010
Y1 - 2010
N2 - We consider the problem of multicasting sums over directed acyclic networks with unit capacity edges. A set of source nodes si observe independent unit-entropy source processes Xi and want to communicate Σ Xi to a set of terminals tj. Previous work on this problem has established necessary and sufficient conditions on the si - t j connectivity in the case when there are two sources or two terminals (Ramamoorthy '08), and in the case of three sources and three terminals (Langberg-Ramamoorthy '09). In particular the latter result establishes that each terminal can recover the sum if there are two edge disjoint paths between each si - tj pair. In this work, we provide a new and significantly simpler proof of this result, and introduce techniques that may be of independent interest in other network coding problems.
AB - We consider the problem of multicasting sums over directed acyclic networks with unit capacity edges. A set of source nodes si observe independent unit-entropy source processes Xi and want to communicate Σ Xi to a set of terminals tj. Previous work on this problem has established necessary and sufficient conditions on the si - t j connectivity in the case when there are two sources or two terminals (Ramamoorthy '08), and in the case of three sources and three terminals (Langberg-Ramamoorthy '09). In particular the latter result establishes that each terminal can recover the sum if there are two edge disjoint paths between each si - tj pair. In this work, we provide a new and significantly simpler proof of this result, and introduce techniques that may be of independent interest in other network coding problems.
UR - https://www.scopus.com/pages/publications/77955674549
U2 - 10.1109/ISIT.2010.5513422
DO - 10.1109/ISIT.2010.5513422
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AN - SCOPUS:77955674549
SN - 9781424469604
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1853
EP - 1857
BT - 2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings
T2 - 2010 IEEE International Symposium on Information Theory, ISIT 2010
Y2 - 13 June 2010 through 18 June 2010
ER -