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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 1, Pages 189–203 (Mi zvmmf5413)  
On cyclic sets

S. M. Shvartin

Moskva
Full-text PDF (1431 kB)
Abstract: A system of subsets of the Cartesian product of two finite sets of natural numbers, called cyclic sets, is studied. Particular attention is devoted to the study of the power characteristics of one of the subsets of the system, called the set of cycles. It is shown that cycles can be used to establish the optimality of the transfer plan in the transport problem.
Received: 07.04.1977
Revised: 04.07.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 1, Pages 193–209
DOI: https://doi.org/10.1016/0041-5553(79)90078-8
Bibliographic databases:
Document Type: Article
UDC: 519.7, 519.8
MSC: 90C08
Language: Russian
Citation: S. M. Shvartin, “On cyclic sets”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 189–203; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 193–209
Citation in format AMSBIB
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\by S.~M.~Shvartin
\paper On~cyclic sets
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 1
\pages 189--203
\mathnet{http://mi.mathnet.ru/zvmmf5413}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525477}
\zmath{https://zbmath.org/?q=an:0406.90046}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 1
\pages 193--209
\crossref{https://doi.org/10.1016/0041-5553(79)90078-8}
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