Abstract

Network coding for achieving the maximum information flow in the multicast networks has been proposed by us (Ahlswede, Cai, Li, and Yeung). Therefore now these networks are called ACLY-networks. We demonstrated that the conventional network switching, without resort to network coding, is in general not able to achieve the optimum information flow that has been promised by network coding. A basic problem arising here is that, for a given multicast network, what is the switching gap of the network defined as the ratio of the maximum information flow in the multicast network with network coding to that only with network switching.

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