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Pacific Journal of Mathematics
Article
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Other literature type . 1988
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Pacific Journal of Mathematics
Article . 1988 . Peer-reviewed
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Barycentric subdivisions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Nov 1988 English Publisher:Mathematical Sciences PublishersJournal:Pacific Journal of Mathematics, volume 135, pages 1-16 (issn: 0030-8730, eissn: 0030-8730, Copyright policy )
Authors: Bayer, Margaret M.;

doi: 10.2140/pjm.1988.135.1

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.

Keywords

Graph theory, posets, 57Q99, barycentric subdivisions of regular CW spheres, Theory of computing, PL-topology, 52A25, simplicial polytopes, algorithmic theory of comparability graphs

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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
Green
bronze