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Avtomatika i Telemekhanika, 2005, Issue 4, Pages 141–155 (Mi at1359)  
This article is cited in 4 scientific papers (total in 4 papers)

Technical Diagnostics

Construction of maximum cycles in faulty binary hypercubes

P. P. Parkhomenko

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (188 kB) Citations (4)
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Abstract: Consideration was given to the following problem. In the binary hypercube, given is a Hamiltonian cycle with faulty edges, or vertices, or both. Needed is to construct a length-maximum cycle without faulty components of the hypercube. The cycles are defined by the ring sequences of the weights of the hypercube edges belonging to them. The discussion was based on the example of a binary 4-dimensional hypercube.
Presented by the member of Editorial Board: P. Yu. Chebotarev

Received: 17.06.2004
English version:
Automation and Remote Control, 2005, Volume 66, Issue 4, Pages 633–645
DOI: https://doi.org/10.1007/s10513-005-0106-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. P. Parkhomenko, “Construction of maximum cycles in faulty binary hypercubes”, Avtomat. i Telemekh., 2005, no. 4, 141–155; Autom. Remote Control, 66:4 (2005), 633–645
Citation in format AMSBIB
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\by P.~P.~Parkhomenko
\paper Construction of maximum cycles in faulty binary hypercubes
\jour Avtomat. i Telemekh.
\yr 2005
\issue 4
\pages 141--155
\mathnet{http://mi.mathnet.ru/at1359}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2140063}
\zmath{https://zbmath.org/?q=an:1085.68605}
\transl
\jour Autom. Remote Control
\yr 2005
\vol 66
\issue 4
\pages 633--645
\crossref{https://doi.org/10.1007/s10513-005-0106-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-17444399313}
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  • https://www.mathnet.ru/eng/at/y2005/i4/p141
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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