Combinatorial flow over cyclic linear networks
Chung Yuen Chan, Kenneth W. Shum, Qifu Tyler Sun · 2013
A combinatorial notion of flow is identified for time-invariant linear coding over non-layered deterministic linear networks that may contain cycles, broadcast and interference links. It reveals the matroidal structure for efficient code construction, and enables a seamless extension of the classical network coding results. In particular, the flow can be decomposed efficiently into disjoint information flow paths to support a maximum unicast rate up to the cut-set bound.