Vol. 135, No. 1, 1988

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Barycentric subdivisions

Margaret M. Bayer

Vol. 135 (1988), No. 1, 1–16
Abstract

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.

Mathematical Subject Classification 2000
Primary: 52A25, 52A25
Secondary: 57Q99
Milestones
Received: 10 August 1987
Published: 1 November 1988
Authors
Margaret M. Bayer