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Discrete & Computational Geometry
Article . 1999 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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Article
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DBLP
Article . 2020
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Stresses and Liftings of Cell-Complexes

Stresses and liftings of cell-complexes
Authors: Konstantin A. Rybnikov;

Stresses and Liftings of Cell-Complexes

Abstract

This paper introduces a general notion of stress on cell-complexes and presents results connecting stress and liftings of \(d\)-dimensional cell complexes. New sufficient conditions for the existence of a sharp lifting for a flat piecewise linear realization of a manifold are given. The author presents two algorithms that determine whether a piecewise linear realization of a d-manifold in \(R^d\) admits a lifting to \(R^{d+1}\) which satisfies given constraints.

Related Organizations
Keywords

polyhedral complexes, stress, Computer graphics; computational geometry (digital and algorithmic aspects), lifting, Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.)

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    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).
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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
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!
13
Average
Top 10%
Average
bronze