The NP-completeness of the consistency problem for systems of Diophantine equations over finite configurations Full article
Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
||||
---|---|---|---|---|---|
Output data | Year: 2025, Volume: 66, Number: 3, Pages: 702-714 Pages count : 13 DOI: 10.1134/S0037446625030103 | ||||
Tags | configuration, incidence, system of equations, nondeterministic Turing machine, NP-complete problem | ||||
Authors |
|
||||
Affiliations |
|
Funding (1)
1 | Russian Science Foundation | 23-11-00170 |
Abstract:
Studying finite systems of Diophantine equations over finite configurations, we prove that the consistency problem for such systems is NP-complete.
Cite:
Kogabaev N.T.
The NP-completeness of the consistency problem for systems of Diophantine equations over finite configurations
Siberian Mathematical Journal. 2025. V.66. N3. P.702-714. DOI: 10.1134/S0037446625030103 WOS Scopus РИНЦ OpenAlex
The NP-completeness of the consistency problem for systems of Diophantine equations over finite configurations
Siberian Mathematical Journal. 2025. V.66. N3. P.702-714. DOI: 10.1134/S0037446625030103 WOS Scopus РИНЦ OpenAlex
Original:
Когабаев Н.Т.
NP-полнота проблемы совместности систем диофантовых уравнений над конечными конфигурациями
Сибирский математический журнал. 2025. Т.66. №3. С.450-464. DOI: 10.33048/smzh.2025.66.310 РИНЦ
NP-полнота проблемы совместности систем диофантовых уравнений над конечными конфигурациями
Сибирский математический журнал. 2025. Т.66. №3. С.450-464. DOI: 10.33048/smzh.2025.66.310 РИНЦ
Dates:
Submitted: | Nov 14, 2024 |
Accepted: | Apr 25, 2025 |
Published print: | Jun 2, 2025 |
Published online: | Jun 2, 2025 |
Identifiers:
Web of science: | WOS:001500903100020 |
Scopus: | 2-s2.0-105007079614 |
Elibrary: | 82395836 |
OpenAlex: | W4410947119 |
Citing:
Пока нет цитирований