Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes
<p>In this paper we introduce and study a class of centrally symmetric polytopes – perfect prismatoids – and some its properties related to the famous conjecture concerning face numbers of centrally symmetric polytopes are proved. It is proved that any Hanner polytope is a perfect prismatoid a...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2012-01-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | http://mais-journal.ru/jour/article/view/148 |
| _version_ | 1797971772213035008 |
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| author | M. A. Kozachok |
| author_facet | M. A. Kozachok |
| author_sort | M. A. Kozachok |
| collection | DOAJ |
| description | <p>In this paper we introduce and study a class of centrally symmetric polytopes – perfect prismatoids – and some its properties related to the famous conjecture concerning face numbers of centrally symmetric polytopes are proved. It is proved that any Hanner polytope is a perfect prismatoid and any perfect prismatoid is affine equivalent to some 0/1-polytope.</p><p> </p> |
| first_indexed | 2024-04-11T03:37:51Z |
| format | Article |
| id | doaj.art-8d8f1047f5cc4a8fa463a0ad570674c9 |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-11T03:37:51Z |
| publishDate | 2012-01-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-8d8f1047f5cc4a8fa463a0ad570674c92023-01-02T04:48:04ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172012-01-01196137147142Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric PolytopesM. A. Kozachok0Математический институт им. В.А. Стеклова РАН; Ярославский государственный университет им. П.Г. Демидова, Международная лаборатория "Дискретная и вычислительная геометрия" им. Б.Н. Делоне<p>In this paper we introduce and study a class of centrally symmetric polytopes – perfect prismatoids – and some its properties related to the famous conjecture concerning face numbers of centrally symmetric polytopes are proved. It is proved that any Hanner polytope is a perfect prismatoid and any perfect prismatoid is affine equivalent to some 0/1-polytope.</p><p> </p>http://mais-journal.ru/jour/article/view/148многогранникимногогранники Ханнерагипотеза Калаи |
| spellingShingle | M. A. Kozachok Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes Моделирование и анализ информационных систем многогранники многогранники Ханнера гипотеза Калаи |
| title | Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes |
| title_full | Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes |
| title_fullStr | Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes |
| title_full_unstemmed | Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes |
| title_short | Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes |
| title_sort | perfect prismatoids and the conjecture concerning face numbers of centrally symmetric polytopes |
| topic | многогранники многогранники Ханнера гипотеза Калаи |
| url | http://mais-journal.ru/jour/article/view/148 |
| work_keys_str_mv | AT makozachok perfectprismatoidsandtheconjectureconcerningfacenumbersofcentrallysymmetricpolytopes |