On Fractional Linear Network Coding Solution of Multiple-Unicast Networks
Information Theory
2016-10-26 v1 math.IT
Abstract
It is known that there exists a multiple-unicast network which has a rate 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 , there exists a multiple-unicast network which has a rate 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.
Cite
@article{arxiv.1610.08004,
title = {On Fractional Linear Network Coding Solution of Multiple-Unicast Networks},
author = {Niladri Das and Brijesh Kumar Rai},
journal= {arXiv preprint arXiv:1610.08004},
year = {2016}
}