Elsevier

Computational Geometry

Volume 57, August 2016, Pages 19-26
Computational Geometry

The non-pure version of the simplex and the boundary of the simplex

https://doi.org/10.1016/j.comgeo.2016.05.002Get rights and content
Under an Elsevier user license
open archive

Abstract

We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. These are a special type of non-homogeneous balls and spheres (NH-balls and NH-spheres) satisfying a minimality condition on the number of facets. The main result is that minimal NH-balls and NH-spheres are precisely the simplicial complexes whose iterated Alexander duals converge respectively to a simplex or the boundary of a simplex.

Keywords

Simplicial complexes
Combinatorial manifolds
Alexander dual

Cited by (0)