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Disjoint hamiltonian cycles in minimum distance graphs of 1-perfect codes Научная публикация

Журнал Australasian Journal of Combinatorics
ISSN: 1034-4942 , E-ISSN: 2202-3518
Вых. Данные Год: 2017, Том: 69, Номер: 2, Страницы: 215-221 Страниц : 7
Авторы Romanov A.M. 1
Организации
1 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation

Реферат: It is shown that for all admissible n ≥ 15 there exists a nonlinear binary 1-perfect code of length n whose minimum distance graph contains at least 7(n + 1)/16 pairwise edge-disjoint Hamiltonian cycles. It is also shown that for all admissible n ≥ 15 the minimum distance graph of the binary Hamming code of length n contains at least 7(n+ 1)/16 pairwise edge-disjoint Hamiltonian cycles.
Библиографическая ссылка: Romanov A.M.
Disjoint hamiltonian cycles in minimum distance graphs of 1-perfect codes
Australasian Journal of Combinatorics. 2017. V.69. N2. P.215-221. Scopus
Идентификаторы БД:
Scopus: 2-s2.0-85029672191
Цитирование в БД:
БД Цитирований
Scopus 1