Combinatorial point configurations and polytopes
The monograph is dedicated to exploring combinatorial point configurations derived from mapping a set of combinatorial configurations into Euclidean space. Various methods for this mapping, along with the typology and properties of the resultant configurations, are presented. In addition, the study...
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| Médium: | Online |
| Jazyk: | angličtina |
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Wydawnictwo Uniwersytetu Łódzkiego
2025
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| On-line přístup: | ONIX_20250307_9788383313924_692 |
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| _version_ | 1869514495562350592 |
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| author | Sergiy, Yakovlev Pichugina, Oksana Koliechkina, Liudmyla |
| author_browse | Koliechkina, Liudmyla Pichugina, Oksana Sergiy, Yakovlev |
| author_facet | Sergiy, Yakovlev Pichugina, Oksana Koliechkina, Liudmyla |
| author_sort | Sergiy, Yakovlev |
| collection | Directory of Open Access Books |
| description | The monograph is dedicated to exploring combinatorial point configurations derived from mapping a set of combinatorial configurations into Euclidean space. Various methods for this mapping, along with the typology and properties of the resultant configurations, are presented. In addition, the study revolves around combinatorial polytopes defined as convex hulls of combinatorial point configurations. The primary focus lies in examining multipermutation and partial multipermutation point configurations alongside their associated combinatorial polytopes known as multipermutohedra and partial multipermutohedra. Our theoretical contributions are substantiated through the proof of theorems and supporting auxiliary statements. Examples and illustrations are included to enhance the comprehension of the material. |
| format | Online |
| id | doab-20.500.12854ir-154510 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | Wydawnictwo Uniwersytetu Łódzkiego |
| publisherStr | Wydawnictwo Uniwersytetu Łódzkiego |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1545102025-03-07T13:08:07Z Combinatorial point configurations and polytopes Sergiy, Yakovlev Pichugina, Oksana Koliechkina, Liudmyla Finite point configuration combinatorial point configuration combinatorial polytope multipermutation partial permutation The monograph is dedicated to exploring combinatorial point configurations derived from mapping a set of combinatorial configurations into Euclidean space. Various methods for this mapping, along with the typology and properties of the resultant configurations, are presented. In addition, the study revolves around combinatorial polytopes defined as convex hulls of combinatorial point configurations. The primary focus lies in examining multipermutation and partial multipermutation point configurations alongside their associated combinatorial polytopes known as multipermutohedra and partial multipermutohedra. Our theoretical contributions are substantiated through the proof of theorems and supporting auxiliary statements. Examples and illustrations are included to enhance the comprehension of the material. 2025-03-07T13:08:05Z 2025-03-07T13:08:05Z 2023 book ONIX_20250307_9788383313924_692 9788383313924 9788383313917 https://directory.doabooks.org/handle/20.500.12854/154510 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://www.press.uni.lodz.pl/index.php/wul/catalog/book/589 Wydawnictwo Uniwersytetu Łódzkiego electronic 10.18778/8331-391-7 10.18778/8331-391-7 83bfe9c9-323d-4283-b087-d859fd9af314 9788383313924 9788383313917 electronic open access |
| spellingShingle | Finite point configuration combinatorial point configuration combinatorial polytope multipermutation partial permutation Sergiy, Yakovlev Pichugina, Oksana Koliechkina, Liudmyla Combinatorial point configurations and polytopes |
| title | Combinatorial point configurations and polytopes |
| title_full | Combinatorial point configurations and polytopes |
| title_fullStr | Combinatorial point configurations and polytopes |
| title_full_unstemmed | Combinatorial point configurations and polytopes |
| title_short | Combinatorial point configurations and polytopes |
| title_sort | combinatorial point configurations and polytopes |
| topic | Finite point configuration combinatorial point configuration combinatorial polytope multipermutation partial permutation |
| topic_facet | Finite point configuration combinatorial point configuration combinatorial polytope multipermutation partial permutation |
| url | ONIX_20250307_9788383313924_692 |
| work_keys_str_mv | AT sergiyyakovlev combinatorialpointconfigurationsandpolytopes AT pichuginaoksana combinatorialpointconfigurationsandpolytopes AT koliechkinaliudmyla combinatorialpointconfigurationsandpolytopes |