Random Sampling in Cut, Flow, and Network Design Problems
Mathematics of Operations Research
An algebraic approach to network coding
IEEE/ACM Transactions on Networking (TON)
IEEE Transactions on Wireless Communications
Maximum flow and network capacity of network coding for ad-hoc networks
IEEE Transactions on Wireless Communications
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
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Capacity Analysis of network coding is a fundamental problem in communication networks. In this paper, we investigate this problem by generalizing the conventional random graph model as G(n, P,C), where the connecting probability between each pair of nodes p obeys an independent and identical distribution and all the links each have an independent and identical transmission capacity distribution. A tight upper bound of the average value of the maximal flow will be derived based on the proposed random graph model. Moreover, the averaged value and the variance of the maximal flow shall be investigated by some simulations, which demonstrate the effectiveness of our theoretical analysis.