Construction of Hamiltonian paths in graphs of permutation polyhedra
Електронний архів Полтавського університету економіки і торгівлі
Переглянути архів ІнформаціяПоле | Співвідношення | |
Title |
Construction of Hamiltonian paths in graphs of permutation polyhedra
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Creator |
Donec G. A.
Koliechkina L. |
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Subject |
polyhedral combinatorics
combinatorial set combinatorial permutation set graph hyperface Hamiltonian path |
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Description |
The problem of finding an extremum of a linear function over a permutation set is considered. The polyhedron of admissible values of this function over permutations is constructed. The constructed graph is shown to be partially ordered with respect to the transposition of two elements of a permutation. Based on this property, a method is proposed for the construction of a Hamiltonian path in the graph corresponding to the permutation set for n 4. |
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Publisher |
Cybernetics and Systems Analysis
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Date |
2016-04-04T07:37:15Z
2016-04-04T07:37:15Z 2010 |
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Identifier |
G. A. Donec and L. M. Kolechkina, “Construction of Hamiltonian paths in graphs of permutation polyhedra,” Cybernet. Systems Anal., vol. 46, no. 1, pp. 7–13, 2010.
1060-0396 http://dspace.puet.edu.ua/handle/123456789/3422 |
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Language |
en
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