Progressive d-separating edge set bounds on network coding rates
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abstract
A bound on network coding rates is developed that generalizes an edge-cut bound on routing rates. The bound involves progressively removing edges from a network graph and checking whether certain strengthened d-separation conditions are satisfied. The bound improves on the cut-set bound, and its efficacy is demonstrated by showing that routing is rate-optimal for some commonly cited examples in the networking literature.
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Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.