The rigidity of a partially triangulated torus

Cruickshank, James and Kitson, Derek and Power, Stephen Charles (2019) The rigidity of a partially triangulated torus. Proceedings of the London Mathematical Society, 118 (5). pp. 1277-1304. ISSN 0024-6115

Preview

PDF (CKPtriangulated_torus)
CKPtriangulated_torus.pdf - Accepted Version
Available under License Creative Commons Attribution.
Download (339kB)

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.

Item Type:

Journal Article

Journal or Publication Title:

Proceedings of the London Mathematical Society

Additional Information:

This document is the Accepted Manuscript version of a Published Work that appeared in final form in Proceedings of the London Mathematical Society, copyright © London Mathematical Society. To access the final edited and published work see https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/plms.12215

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2600

Subjects:

?? rigiditytriangulated torusgeneral mathematicsmathematics(all) ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

128925

Deposited By:

ep_importer_pure

Deposited On:

12 Nov 2018 09:30

Refereed?:

Yes

Published?:

Published

Last Modified:

19 Sep 2025 12:51

URI:

https://eprints.lancs.ac.uk/id/eprint/128925

Altmetric