Triangulations of cyclic polytopes
We give a new description of the combinatorics of triangulations of even-dimensional cyclic polytopes, and of their bistellar flips. We show that the tropical exchange relation governing the number of intersections between diagonals of a polygon and a lamination (which generalizes to arbitrary surfa...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Discrete Mathematics & Theoretical Computer Science
2012-01-01
|
| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/3068/pdf |
| _version_ | 1827323997816094720 |
|---|---|
| author | Steffen Oppermann Hugh Thomas |
| author_facet | Steffen Oppermann Hugh Thomas |
| author_sort | Steffen Oppermann |
| collection | DOAJ |
| description | We give a new description of the combinatorics of triangulations of even-dimensional cyclic polytopes, and of their bistellar flips. We show that the tropical exchange relation governing the number of intersections between diagonals of a polygon and a lamination (which generalizes to arbitrary surfaces) can also be generalized in a different way, to the setting of higher dimensional cyclic polytopes. |
| first_indexed | 2024-04-25T02:01:43Z |
| format | Article |
| id | doaj.art-537f9a35781f4f6389713cb79474a694 |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:01:43Z |
| publishDate | 2012-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-537f9a35781f4f6389713cb79474a6942024-03-07T14:51:45ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502012-01-01DMTCS Proceedings vol. AR,...Proceedings10.46298/dmtcs.30683068Triangulations of cyclic polytopesSteffen Oppermann0Hugh Thomas1Institutt for Matematiske Fag [Trondheim]Department of Mathematics and StatisticsWe give a new description of the combinatorics of triangulations of even-dimensional cyclic polytopes, and of their bistellar flips. We show that the tropical exchange relation governing the number of intersections between diagonals of a polygon and a lamination (which generalizes to arbitrary surfaces) can also be generalized in a different way, to the setting of higher dimensional cyclic polytopes.https://dmtcs.episciences.org/3068/pdfcluster algebratropical arithmeticcyclic polytopestriangulationbistellar flip[info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| spellingShingle | Steffen Oppermann Hugh Thomas Triangulations of cyclic polytopes Discrete Mathematics & Theoretical Computer Science cluster algebra tropical arithmetic cyclic polytopes triangulation bistellar flip [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| title | Triangulations of cyclic polytopes |
| title_full | Triangulations of cyclic polytopes |
| title_fullStr | Triangulations of cyclic polytopes |
| title_full_unstemmed | Triangulations of cyclic polytopes |
| title_short | Triangulations of cyclic polytopes |
| title_sort | triangulations of cyclic polytopes |
| topic | cluster algebra tropical arithmetic cyclic polytopes triangulation bistellar flip [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| url | https://dmtcs.episciences.org/3068/pdf |
| work_keys_str_mv | AT steffenoppermann triangulationsofcyclicpolytopes AT hughthomas triangulationsofcyclicpolytopes |