On a theory of network equivalence
Koetter, R.; Effros, M.; Medard, M.
Networking and Information Theory, 2009. ITW 2009. IEEE Information Theory Workshop on
Volume , Issue , 12-10 June 2009 Page(s):326 - 330
Digital Object Identifier   10.1109/ITWNIT.2009.5158596
Summary:We describe an equivalence result for network capacity. Roughly, our main result is as follows. Given a network of noisy, independent, memoryless links, a collection of demands can be met on the given network if and only if it can be met on another network where each noisy link is replaced by a noiseless bit pipe with throughput equal to the noisy link capacity. This result was previously known only for multicast connections.

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