On Fractional Linear Network Coding Solution of Multiple-Unicast Networks

Niladri Das; Brijesh Kumar Rai

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arXiv · 1610.08004

On Fractional Linear Network Coding Solution of Multiple-Unicast Networks

Niladri Das·Brijesh Kumar Rai

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Abstract

It is known that there exists a multiple-unicast network which has a rate $1$ linear network coding solution if and only if the characteristic of the finite field belongs to a given finite or co-finite set of primes. In this paper, we show that for any non-zero positive rational number $\frac{k}{n}$, there exists a multiple-unicast network which has a rate $\frac{k}{n}$ fractional linear network coding solution if and only if the characteristic of the finite field belongs to a given finite or co-finite set of primes.

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Niladri Das, Brijesh Kumar Rai. 2016-10-25. On Fractional Linear Network Coding Solution of Multiple-Unicast Networks. https://arxiv.org/abs/1610.08004

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