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Vertex Splitting, Coincident Realisations, and Global Rigidity of Braced Triangulations

Vertex Splitting, Coincident Realisations, and Global Rigidity of Braced Triangulations

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2759879407

Vertex Splitting, Coincident Realisations, and Global Rigidity of Braced Triangulations

About this item

Full title

Vertex Splitting, Coincident Realisations, and Global Rigidity of Braced Triangulations

Publisher

New York: Springer US

Journal title

Discrete & computational geometry, 2023, Vol.69 (1), p.192-208

Language

English

Formats

Publication information

Publisher

New York: Springer US

More information

Scope and Contents

Contents

We give a relatively short graph theoretic proof of a result of Jordán and Tanigawa that a 4-connected graph which has a spanning plane triangulation as a proper subgraph is generically globally rigid in 
R
3
. Our proof is based on a new sufficient condition for the so called vertex splitting operation to preserve generic global rigidity...

Alternative Titles

Full title

Vertex Splitting, Coincident Realisations, and Global Rigidity of Braced Triangulations

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2759879407

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2759879407

Other Identifiers

ISSN

0179-5376

E-ISSN

1432-0444

DOI

10.1007/s00454-022-00459-9

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