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arXiv · 1007.0465

On the Solvability of 2-pair Unicast Networks --- A Cut-based Characterization

K. Cai·K. B. Letaief·P. Fan·R. Feng
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Abstract

In this paper, we propose a subnetwork decomposition/combination approach to investigate the single rate $2$-pair unicast problem. It is shown that the solvability of a $2$-pair unicast problem is completely determined by four specific link subsets, namely, $\mathcal A_{1,1}$, $\mathcal A_{2,2}$, $\mathcal A_{1,2}$ and $\mathcal A_{2,1}$ of its underlying network. As a result, an efficient cut-based algorithm to determine the solvability of a $2$-pair unicast problem is presented.

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K. Cai, K. B. Letaief, P. Fan, R. Feng. 2010-07-03. On the Solvability of 2-pair Unicast Networks --- A Cut-based Characterization. https://arxiv.org/abs/1007.0465

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