Hypergraphs of Special Type and CUT Polytope Relaxations Properties Analysis
The topic of the research is a relationship between a class of hypergraphs of a special type and properties of the points of the cut polytope relaxations $M_{n,k}$. It is established that for a sufficiently large $n$ in $M_{n,4}$ and $M_{n,5}$ polytopes, there are points which have no integer vertic...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2011-09-01
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| Series: | Modelirovanie i Analiz Informacionnyh Sistem |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/1067 |
| Summary: | The topic of the research is a relationship between a class of hypergraphs of a special
type and properties of the points of the cut polytope relaxations $M_{n,k}$. It is established
that for a sufficiently large $n$ in $M_{n,4}$ and $M_{n,5}$ polytopes, there are points which have
no integer vertices in any expansion in a convex combination of $M_{n,3}$ vertices. |
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| ISSN: | 1818-1015 2313-5417 |