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arXiv · 0802.2574

The minimal set of Ingleton inequalities

Laurent Guille·Terence Chan·Alex Grant
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Abstract

The Ingleton-LP bound is an outer bound for the multicast capacity region, assuming the use of linear network codes. Computation of the bound is performed on a polyhedral cone obtained by taking the intersection of half-spaces induced by the basic (Shannon-type) inequalities and Ingleton inequalities. This paper simplifies the characterization of this cone, by obtaining the unique minimal set of Ingleton inequalities. As a result, the effort required for computation of the Ingleton-LP bound can be greatly reduced.

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Laurent Guille, Terence Chan, Alex Grant. 2008-02-19. The minimal set of Ingleton inequalities. https://arxiv.org/abs/0802.2574

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