Balanced subdivision and enumeration in balanced spheres
type: Item
instance of: scholarly article
title: Balanced subdivision and enumeration in balanced spheres
zbMATH Open document ID: 0633.05023
DOI: 10.1007/BF02187885
author: Katherine E. Magurn
author: Billera, Louis J.
published in: Discrete \& Computational Geometry
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/131024
review text: We study here the affine space generated by the extended f-vectors of simplicial homology (d-1)-spheres which are balanced of a given type. This space is determined, and its dimension is computed, by deriving a balanced version of the Dehn-Sommerville equations and exhibiting a set of balanced polytopes whose extended f-vectors span it. To this end, a unique minimal complex of a given type is defined, along with a balanced version of stellar subdivision, and such a subdivision of a face in a minimal complex is realized as the boundary complex of a balanced polytope. For these complexes, we obtain an explicit computation of their extended h-vectors, and, implicitly, f-vectors.
Mathematics Subject Classification ID: 05C10
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 4029593
zbMATH Keywords: affine space
zbMATH Keywords: Dehn-Sommerville equations
zbMATH Keywords: balanced polytopes
zbMATH Keywords: minimal complex
zbMATH Keywords: stellar subdivision
MaRDI profile type: Publication
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OpenAlex ID: W1994614809
description: scientific article; zbMATH DE number 4029593