The Geometry of Random Tournaments
A tournament is an orientation of a graph. Each edge is a match, directed towards the winner. The score sequence lists the number of wins by each team. In this article, by interpreting score sequences geometrically, we generalize and extend classical theorems of Landau (Bull. Math. Biophys. 15, 143–...
| Main Authors: | , |
|---|---|
| Formato: | Journal article |
| Idioma: | English |
| Publicado: |
Springer
2023
|
| _version_ | 1826313593242517504 |
|---|---|
| author | Kolesnik, B Sanchez, M |
| author_facet | Kolesnik, B Sanchez, M |
| author_sort | Kolesnik, B |
| collection | OXFORD |
| description | A tournament is an orientation of a graph. Each edge is a match, directed towards the winner. The score sequence lists the number of wins by each team. In this article, by interpreting score sequences geometrically, we generalize and extend classical theorems of Landau (Bull. Math. Biophys. 15, 143–148 (1953)) and Moon (Pac. J. Math. 13, 1343–1345 (1963)), via the theory of zonotopal tilings. |
| first_indexed | 2024-09-25T04:17:24Z |
| format | Journal article |
| id | oxford-uuid:8cc3a1fd-38d4-4969-a23f-3cf56ca24a5b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:17:24Z |
| publishDate | 2023 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:8cc3a1fd-38d4-4969-a23f-3cf56ca24a5b2024-07-20T14:57:50ZThe Geometry of Random TournamentsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8cc3a1fd-38d4-4969-a23f-3cf56ca24a5bEnglishJisc Publications RouterSpringer2023Kolesnik, BSanchez, MA tournament is an orientation of a graph. Each edge is a match, directed towards the winner. The score sequence lists the number of wins by each team. In this article, by interpreting score sequences geometrically, we generalize and extend classical theorems of Landau (Bull. Math. Biophys. 15, 143–148 (1953)) and Moon (Pac. J. Math. 13, 1343–1345 (1963)), via the theory of zonotopal tilings. |
| spellingShingle | Kolesnik, B Sanchez, M The Geometry of Random Tournaments |
| title | The Geometry of Random Tournaments |
| title_full | The Geometry of Random Tournaments |
| title_fullStr | The Geometry of Random Tournaments |
| title_full_unstemmed | The Geometry of Random Tournaments |
| title_short | The Geometry of Random Tournaments |
| title_sort | geometry of random tournaments |
| work_keys_str_mv | AT kolesnikb thegeometryofrandomtournaments AT sanchezm thegeometryofrandomtournaments AT kolesnikb geometryofrandomtournaments AT sanchezm geometryofrandomtournaments |