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    Rights statement: 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

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The rigidity of a partially triangulated torus

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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The rigidity of a partially triangulated torus. / Cruickshank, James; Kitson, Derek; Power, Stephen Charles.

In: Proceedings of the London Mathematical Society, Vol. 118, No. 5, 01.05.2019, p. 1277-1304.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Cruickshank, J, Kitson, D & Power, SC 2019, 'The rigidity of a partially triangulated torus', Proceedings of the London Mathematical Society, vol. 118, no. 5, pp. 1277-1304. https://doi.org/10.1112/plms.12215

APA

Cruickshank, J., Kitson, D., & Power, S. C. (2019). The rigidity of a partially triangulated torus. Proceedings of the London Mathematical Society, 118(5), 1277-1304. https://doi.org/10.1112/plms.12215

Vancouver

Cruickshank J, Kitson D, Power SC. The rigidity of a partially triangulated torus. Proceedings of the London Mathematical Society. 2019 May 1;118(5):1277-1304. Epub 2018 Nov 27. doi: 10.1112/plms.12215

Author

Cruickshank, James ; Kitson, Derek ; Power, Stephen Charles. / The rigidity of a partially triangulated torus. In: Proceedings of the London Mathematical Society. 2019 ; Vol. 118, No. 5. pp. 1277-1304.

Bibtex

@article{db44564fe12748db87fbede1b331d3f2,
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.",
keywords = "Rigidity, Triangulated torus",
author = "James Cruickshank and Derek Kitson and Power, {Stephen Charles}",
note = "This document is the Accepted Manuscript version of a Published Work that appeared in final form in Proceedings of the London Mathematical Society, copyright {\textcopyright} London Mathematical Society. To access the final edited and published work see https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/plms.12215 ",
year = "2019",
month = may,
day = "1",
doi = "10.1112/plms.12215",
language = "English",
volume = "118",
pages = "1277--1304",
journal = "Proceedings of the London Mathematical Society",
issn = "0024-6115",
publisher = "Oxford University Press",
number = "5",

}

RIS

TY - JOUR

T1 - The rigidity of a partially triangulated torus

AU - Cruickshank, James

AU - Kitson, Derek

AU - Power, Stephen Charles

N1 - 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

PY - 2019/5/1

Y1 - 2019/5/1

N2 - 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.

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.

KW - Rigidity

KW - Triangulated torus

U2 - 10.1112/plms.12215

DO - 10.1112/plms.12215

M3 - Journal article

VL - 118

SP - 1277

EP - 1304

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

SN - 0024-6115

IS - 5

ER -