A Relation between the Protocol Partition Number and the Quasi-Additive Bound

Naoyuki Kamiyama

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arXiv · 1012.5130

A Relation between the Protocol Partition Number and the Quasi-Additive Bound

Naoyuki Kamiyama

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Abstract

In this note, we show that the linear programming for computing the quasi-additive bound of the formula size of a Boolean function presented by Ueno [MFCS'10] is equivalent to the dual problem of the linear programming relaxation of an integer programming for computing the protocol partition number. Together with the result of Ueno [MFCS'10], our results imply that there exists no gap between our integer programming for computing the protocol partition number and its linear programming relaxation.

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Naoyuki Kamiyama. 2010-12-23. A Relation between the Protocol Partition Number and the Quasi-Additive Bound. https://arxiv.org/abs/1012.5130

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