The rigidity of a partially triangulated torus

J. Cruickshank; D. Kitson; S. C. Power

doi:10.1112/plms.12215

The rigidity of a partially triangulated torus

J. Cruickshank
, D. Kitson
, S. C. Power

Mathematics

Department of Mathematics and Statistics, Lancaster University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

5 Citations (Scopus)

Abstract

A simple graph is 3-rigid if its generic embeddings in R ³ are infinitesimally rigid. Necessary and sufficient conditions are obtained for the minimal 3-rigidity of a simple graph obtained from a triangulated torus by the deletion of edges interior to an embedded triangulated disc.

Original language	English
Pages (from-to)	1277-1304
Number of pages	28
Journal	Proceedings of the London Mathematical Society
Volume	118
Issue number	5
DOIs	https://doi.org/10.1112/plms.12215
Publication status	Published - May 2019

Keywords

05C25 (primary)
52C25

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10.1112/plms.12215

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title = "The rigidity of a partially triangulated torus",

abstract = " A simple graph is 3-rigid if its generic embeddings in R 3 are infinitesimally rigid. Necessary and sufficient conditions are obtained for the minimal 3-rigidity of a simple graph obtained from a triangulated torus by the deletion of edges interior to an embedded triangulated disc.",

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year = "2019",

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AU - Cruickshank, J.

AU - Kitson, D.

AU - Power, S. C.

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AB - A simple graph is 3-rigid if its generic embeddings in R 3 are infinitesimally rigid. Necessary and sufficient conditions are obtained for the minimal 3-rigidity of a simple graph obtained from a triangulated torus by the deletion of edges interior to an embedded triangulated disc.

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KW - 52C25

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DO - 10.1112/plms.12215

M3 - Article

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SP - 1277

EP - 1304

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

IS - 5

ER -

The rigidity of a partially triangulated torus

Abstract

Keywords

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