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Diskretnyi Analiz i Issledovanie Operatsii, 2013, Volume 20, Issue 4, Pages 88–97 (Mi da741)  
Simple cycles in the $n$-cube with a large group of automorphisms

A. L. Perezhoginab

a Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
b Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
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Abstract: The cycle automorphism in the $n$-cube is the automorphism of the cube that leaves the cycle in place and does not change its orientation. An upper bound for the order of the group of cycle automorphisms in the $n$-cube is found. We obtain the construction for building long simple cycles for which the order of the group reaches the upper bound. Bibliogr. 3.
Keywords: $n$-cube, cycle, automorphism, orbit, lattice.
Received: 27.03.2013
Revised: 29.05.2013
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 4, Pages 567–573
DOI: https://doi.org/10.1134/S199047891304011X
Bibliographic databases:
Document Type: Article
UDC: 519.174
Language: Russian
Citation: A. L. Perezhogin, “Simple cycles in the $n$-cube with a large group of automorphisms”, Diskretn. Anal. Issled. Oper., 20:4 (2013), 88–97; J. Appl. Industr. Math., 7:4 (2013), 567–573
Citation in format AMSBIB
\Bibitem{Per13}
\by A.~L.~Perezhogin
\paper Simple cycles in the $n$-cube with a~large group of automorphisms
\jour Diskretn. Anal. Issled. Oper.
\yr 2013
\vol 20
\issue 4
\pages 88--97
\mathnet{http://mi.mathnet.ru/da741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3114914}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 4
\pages 567--573
\crossref{https://doi.org/10.1134/S199047891304011X}
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