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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 4, Pages 361–373 (Mi sjvm412)  

Algoritms for enumeration of single-transition serial sequences

V. A. Amelkin

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
References:
Abstract: Sets of $n$-valued single-transition serial sequences consisting of two serial subsequences (an increasing one and a decreasing one) determined by constraints on the number of series and on their lengths and heights are considered.
Enumeration problems for sets of finite sequences in which the difference in height between the neighboring series is not less than some given value are solved. Algorithms that assign smaller numbers to the lexicographically lower-order sequences and smaller numbers to the lexicographically higher-order sequences are obtained.
Key words: series, series length, series height, constraints.
Received: 09.09.2009
English version:
Numerical Analysis and Applications, 2010, Volume 3, Issue 4, Pages 295–305
DOI: https://doi.org/10.1134/S1995423910040014
Bibliographic databases:
Document Type: Article
UDC: 519.115
Language: Russian
Citation: V. A. Amelkin, “Algoritms for enumeration of single-transition serial sequences”, Sib. Zh. Vychisl. Mat., 13:4 (2010), 361–373; Num. Anal. Appl., 3:4 (2010), 295–305
Citation in format AMSBIB
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\by V.~A.~Amelkin
\paper Algoritms for enumeration of single-transition serial sequences
\jour Sib. Zh. Vychisl. Mat.
\yr 2010
\vol 13
\issue 4
\pages 361--373
\mathnet{http://mi.mathnet.ru/sjvm412}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
\issue 4
\pages 295--305
\crossref{https://doi.org/10.1134/S1995423910040014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78650391240}
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