Generating Plane Quadrangulations and Symmetry-preserving Operations on Maps
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912125512843264 |
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| author | Camp, Heidi Van den McKay, Brendan D. |
| author_facet | Camp, Heidi Van den McKay, Brendan D. |
| contents | Lopsp-operations are operations on maps that are applied locally and are guaranteed to preserve all the orientation-preserving symmetries of maps. Well-known examples of such operations are dual, ambo, truncation, and leapfrog. They are described by plane 3-coloured triangulations with specific properties. We developed and implemented a program that can generate all lopsp-operations of a given size by reducing the problem of generating lopsp-operations to generating all plane quadrangulations that are not necessarily simple. We extended the program plantri to generate these quadrangulations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_10676 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generating Plane Quadrangulations and Symmetry-preserving Operations on Maps Camp, Heidi Van den McKay, Brendan D. Combinatorics 05C30 Lopsp-operations are operations on maps that are applied locally and are guaranteed to preserve all the orientation-preserving symmetries of maps. Well-known examples of such operations are dual, ambo, truncation, and leapfrog. They are described by plane 3-coloured triangulations with specific properties. We developed and implemented a program that can generate all lopsp-operations of a given size by reducing the problem of generating lopsp-operations to generating all plane quadrangulations that are not necessarily simple. We extended the program plantri to generate these quadrangulations. |
| title | Generating Plane Quadrangulations and Symmetry-preserving Operations on Maps |
| topic | Combinatorics 05C30 |
| url | https://arxiv.org/abs/2402.10676 |