Almost Self-Complementary Uniform Hypergraphs
A k-uniform hypergraph (k-hypergraph) is almost self-complementary if it is isomorphic with its complement in the complete k-uniform hypergraph minus one edge. We prove that an almost self-complementary k-hypergraph of order n exists if and only if (nk)$\left({\matrix{ n \cr k \cr } } \right)$ is od...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2018-05-01
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| Series: | Discussiones Mathematicae Graph Theory |
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| Online Access: | https://doi.org/10.7151/dmgt.2028 |
| _version_ | 1797704406299312128 |
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| author | Wojda Adam Paweł |
| author_facet | Wojda Adam Paweł |
| author_sort | Wojda Adam Paweł |
| collection | DOAJ |
| description | A k-uniform hypergraph (k-hypergraph) is almost self-complementary if it is isomorphic with its complement in the complete k-uniform hypergraph minus one edge. We prove that an almost self-complementary k-hypergraph of order n exists if and only if (nk)$\left({\matrix{ n \cr k \cr } } \right)$ is odd. |
| first_indexed | 2024-03-12T05:19:54Z |
| format | Article |
| id | doaj.art-9134cd73db5f4dc6afb77857c77e2806 |
| institution | Directory Open Access Journal |
| issn | 2083-5892 |
| language | English |
| last_indexed | 2024-03-12T05:19:54Z |
| publishDate | 2018-05-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae Graph Theory |
| spelling | doaj.art-9134cd73db5f4dc6afb77857c77e28062023-09-03T07:47:22ZengUniversity of Zielona GóraDiscussiones Mathematicae Graph Theory2083-58922018-05-0138260761010.7151/dmgt.2028dmgt.2028Almost Self-Complementary Uniform HypergraphsWojda Adam Paweł0AGH University of Science and Technology, Faculty of Applied Mathematics, Al. Mickiewicza 30, 30-059Kraków, PolandA k-uniform hypergraph (k-hypergraph) is almost self-complementary if it is isomorphic with its complement in the complete k-uniform hypergraph minus one edge. We prove that an almost self-complementary k-hypergraph of order n exists if and only if (nk)$\left({\matrix{ n \cr k \cr } } \right)$ is odd.https://doi.org/10.7151/dmgt.2028uniform hypergraph035c |
| spellingShingle | Wojda Adam Paweł Almost Self-Complementary Uniform Hypergraphs Discussiones Mathematicae Graph Theory uniform hypergraph 035c |
| title | Almost Self-Complementary Uniform Hypergraphs |
| title_full | Almost Self-Complementary Uniform Hypergraphs |
| title_fullStr | Almost Self-Complementary Uniform Hypergraphs |
| title_full_unstemmed | Almost Self-Complementary Uniform Hypergraphs |
| title_short | Almost Self-Complementary Uniform Hypergraphs |
| title_sort | almost self complementary uniform hypergraphs |
| topic | uniform hypergraph 035c |
| url | https://doi.org/10.7151/dmgt.2028 |
| work_keys_str_mv | AT wojdaadampaweł almostselfcomplementaryuniformhypergraphs |