Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс:
http://hdl.handle.net/11701/3910
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Kosovskii, Nikolai K. | - |
dc.contributor.author | Kosovskaya, Tatiana M. | - |
dc.contributor.author | Kosovskii, Nikolai N. | - |
dc.date.accessioned | 2016-09-28T15:51:00Z | - |
dc.date.available | 2016-09-28T15:51:00Z | - |
dc.date.issued | 2016-09 | - |
dc.identifier.citation | Kosovskii N.K., Kosovskaya T.M., Kosovskii N.N. NP-completeness conditions for some types of systems of linear diophantine dis-equations consistency checking. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 3, pp. 408–414. | en_GB |
dc.identifier.other | 10.21638/11701/spbu01.2016.308 | - |
dc.identifier.uri | http://hdl.handle.net/11701/3910 | - |
dc.description.abstract | Three series of number-theoretic problems concerning systems of Diophantine linear dis-equations with explicitly pointed out parameters are proposed in this part of the paper. Conditions upon the parameters implying that every problem of a series is an NP-complete one are proved. It is proved that for every m and m (m < m ) the consistency problem for a system of Diophantine linear dis-equations every of which contains exactly 3 variables (even if every coefficient belongs to {−1, 1}) is NP-complete. This problem also admits a simple geometrical interpretation concerning NP-completeness of the checking whether inside a many-dimensional cube there exists an integer-valued point which does not belong to any of the given hyperplanes which cut off equal segments of three axes and are parallel to the other ones. If every dis-equation of a system of Diophantine linear dis-equations contains exactly 2 variables then the problem remains an NP-complete one under the condition that m −m > 2. It is also proved that if a solution of a system of Diophantine linear dis-equations every of which contains exactly 3 variables must belong to a domain, which is defined by a system of polynomial inequalities, contains an n-dimentional cube and is contained in an n-dimentional parallelogramm, then it is an NP-complete one. Refs 15. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Series 1. Mathematics. Mechanics. Astronomy;Issue 3 | - |
dc.subject | system of linear Diophantine dis-equations | en_GB |
dc.subject | belonging of a integer-valued point from a bounded domain to the intersection of hyperplanes | en_GB |
dc.subject | NP-completeness | en_GB |
dc.title | NP-completeness conditions for some types of systems of linear diophantine dis-equations consistency checking | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
---|---|---|---|---|
Kosovskiy.pdf | 217,08 kB | Adobe PDF | Просмотреть/Открыть |
Все ресурсы в архиве электронных ресурсов защищены авторским правом, все права сохранены.