Jackson, Bill and Kaszanitzky, Viktória and Nixon, Anthony (2019) Rigid Cylindrical Frameworks with Two Coincident Points. GRAPHS AND COMBINATORICS, 35 (1). pp. 141-168. ISSN 0911-0119
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Official URL: https://doi.org/10.1007/s00373-018-1983-8
Abstract
We develop a rigidity theory for graphs whose vertices are constrained to lie on a cylinder and in which two given vertices are coincident. We apply our result to show that the vertex splitting operation preserves the global rigidity of generic frameworks on the cylinder, whenever it satisfies the necessary condition that the deletion of the edge joining the split vertices preserves generic rigidity.
| Item Type: | Article |
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| Uncontrolled Keywords: | DELETION; Count matroid; INFINITESIMAL RIGIDITY; Framework on a surface; contraction characterisation; Coincident points; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 13 Feb 2023 15:15 |
| Last Modified: | 13 Feb 2023 15:15 |
| URI: | http://real.mtak.hu/id/eprint/158974 |
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