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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Final published version
Licence: CC BY: Creative Commons Attribution 4.0 International License
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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
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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 -