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Matematicheskie Zametki, 1968, Volume 3, Issue 1, Pages 15–20 (Mi mzm6646)  
A problem from the domain of combinatorial analysis

S. S. Kislitsyn

V. A. Steklov Institute of Mathematics of the Sverdlovsk Division of the USSR Academy of Sciences
Full-text PDF (377 kB)
Abstract: A problem on the separation of a finite set in accordance with the properties of its elements is analyzed. A class of sets which are extremal in the sense that their separation by the best criterion is the most asymmetric is introduced. An estimate of the capacity of similar sets is given. The application of the results to the problems of classification and ordering of a finite collection is considered.
Received: 31.07.1967
English version:
Mathematical Notes, 1968, Volume 3, Issue 1, Pages 11–14
DOI: https://doi.org/10.1007/BF01386957
Bibliographic databases:
UDC: 51.01.16
Language: Russian
Citation: S. S. Kislitsyn, “A problem from the domain of combinatorial analysis”, Mat. Zametki, 3:1 (1968), 15–20; Math. Notes, 3:1 (1968), 11–14
Citation in format AMSBIB
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\by S.~S.~Kislitsyn
\paper A~problem from the domain of combinatorial analysis
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 1
\pages 15--20
\mathnet{http://mi.mathnet.ru/mzm6646}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=228349}
\zmath{https://zbmath.org/?q=an:0185.03202}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 1
\pages 11--14
\crossref{https://doi.org/10.1007/BF01386957}
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