Barycentric subdivisions
type: Item
instance of: scholarly article
title: Barycentric subdivisions
zbMATH Open document ID: 0627.57020
author: Margaret M. Bayer
published in: Pacific Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: A characterization is given of simplicial polytopes that are barycentric subdivisions of regular CW spheres. It is shown that barycentric subdivisions of connected polyhedral complexes with at least two facets determine the underlying complex uniquely up to duality. Connections with the algorithmic theory of comparability graphs are discussed. The f- vectors of regular CW spheres are characterized.
Mathematics Subject Classification ID: 57Q99
Mathematics Subject Classification ID: 68Q99
Mathematics Subject Classification ID: 05C99
zbMATH DE Number: 4020020
zbMATH Keywords: simplicial polytopes
zbMATH Keywords: barycentric subdivisions of regular CW spheres
zbMATH Keywords: algorithmic theory of comparability graphs
zbMATH Keywords: posets
MaRDI profile type: Publication
full work available at URL: pjm.1988.135.1
OpenAlex ID: W4232913362
DOI: 10.2140/PJM.1988.135.1
description: scientific article; zbMATH DE number 4020020