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- W2964201069 abstract "The problem of network coding for multicasting a single source to multiple sinks has first been studied by Ahlswede, Cai, Li and Yeung in 2000, in which they have established the celebrated max-flow mini-cut theorem on non-physical information flow over a network of independent channels. On the other hand, in 1980, Han has studied the case with correlated multiple sources and a single sink from the viewpoint of polymatroidal functions in which a necessary and sufficient condition has been demonstrated for reliable transmission over the network. This paper presents an attempt to unify both cases, which leads to establish a necessary and sufficient condition for reliable transmission over a noisy network for multicasting all the correlated multiple sources to all the multiple sinks. Furthermore, we address also the problem of transmitting ¿independent¿ sources over a multiple-access-type of network as well as over a broadcast-type of network, which reveals that the (co-) polymatroidal structures are intrinsically involved in these types of network coding." @default.
- W2964201069 created "2019-07-30" @default.
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- W2964201069 date "2010-01-01" @default.
- W2964201069 modified "2023-09-26" @default.
- W2964201069 title "Polymatroids with network coding" @default.
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- W2964201069 doi "https://doi.org/10.1109/ita.2010.5454126" @default.
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