Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	On ranks of regular polygons
Publication Date:	2016-07-14
Authors:	- António Pedro Neves Goucha - João Gouveia - Pedro M. Silva
Abstract:	In this paper we study various versions of extension complexity for polygons through the study of factorization ranks of their slack matrices. In particular, we develop a new asymptotic lower bound for their nonnegative rank, shortening the gap between the current bounds, we introduce a new upper bound for their boolean rank, deriving from it some new numerical results, and we study their complex semidefinite rank, uncovering the possibility of non monotonicity of the ranks of regular n-gons.
Institution:	DMUC 16-35
Online version:	http://www.mat.uc.pt...prints/eng_2016.html
Download:	Not available