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arXiv · 1305.0503

Graph-Theoretic Characterization of The Feasibility of The Precoding-Based 3-Unicast Interference Alignment Scheme

Jaemin Han·Chih-Chun Wang·Ness B. Shroff
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Abstract

A new precoding-based intersession network coding (NC) scheme has recently been proposed, which applies the interference alignment technique, originally devised for wireless interference channels, to the 3-unicast problem of directed acyclic networks. The main result of this work is a graph-theoretic characterization of the feasibility of the 3-unicast interference alignment scheme. To that end, we first investigate several key relationships between the point-to-point network channel gains and the underlying graph structure. Such relationships turn out to be critical when characterizing graph-theoretically the feasibility of precoding-based solutions.

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Jaemin Han, Chih-Chun Wang, Ness B. Shroff. 2013-05-02. Graph-Theoretic Characterization of The Feasibility of The Precoding-Based 3-Unicast Interference Alignment Scheme. https://arxiv.org/abs/1305.0503

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