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Functional dependence graphs (FDG) are an important class of directed graph that capture the functional dependence relationship among a set of random variables. FDGs are frequently used in characterizing and calculating network coding capacity bounds. However, the order of an FDG is usually much larger than the original network and the complexity of computing bounds grows exponentially with the order...
Explicit characterization of network coding capacity for multi-source multi-sink networks is an extremely hard problem. The linear programming bound is an explicit outer bound on network coding capacity but it is computationally very intensive. An edge-cut bound called functional dependence bound is an easily computable relaxation of the linear programming bound. However, the functional dependence...
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