On 0/1-polytopes with nonobtuse triangulations

Apo Cihangir

Applied Mathematics and Computation, 2015, vol. 267, issue C, 17-27

Abstract: Recently, Brandts et al. (2013) [5] studied 0/1-triangulations of the unit n-cube In with simplices that only have nonobtuse dihedral angles. An example is the standard triangulation into n! simplices. It is proved in [5] that for each n ≥ 3 there is essentially only one other nonobtuse 0/1-triangulation of In. Here we will outline an investigation into 0/1-triangulations of other 0/1-polytopes with simplices that only have nonobtuse dihedral angles. As far as we know, this is the only source that combines both concepts 0/1-polytopes and nonobtuse 0/1-triangulations. In particular, we investigate nonobtuse 0/1-triangulations of 0/1-polytopes in I3 and I4.

Keywords: Nonobtuse simplex; 0/1-polytope; 0/1-equivalence; Triangulation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:267:y:2015:i:c:p:17-27

DOI: 10.1016/j.amc.2015.07.016

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