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Minimal Delaunay Triangulations of Hyperbolic Surfaces

Minimal Delaunay Triangulations of Hyperbolic Surfaces

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2773476454

Minimal Delaunay Triangulations of Hyperbolic Surfaces

About this item

Full title

Minimal Delaunay Triangulations of Hyperbolic Surfaces

Publisher

New York: Springer US

Journal title

Discrete & computational geometry, 2023-03, Vol.69 (2), p.568-592

Language

English

Formats

Publication information

Publisher

New York: Springer US

More information

Scope and Contents

Contents

Motivated by recent work on Delaunay triangulations of hyperbolic surfaces, we consider the minimal number of vertices of such triangulations. First, we show that every hyperbolic surface of genus
g
has a simplicial Delaunay triangulation with
O
(
g
) vertices, where edges are given by distance paths. Then, we construct a class of...

Alternative Titles

Full title

Minimal Delaunay Triangulations of Hyperbolic Surfaces

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2773476454

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2773476454

Other Identifiers

ISSN

0179-5376

E-ISSN

1432-0444

DOI

10.1007/s00454-022-00373-0

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