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Avtomat. i Telemekh., 2011, Issue 12, Pages 130–143 (Mi at3093)  

This article is cited in 2 scientific papers (total in 2 papers)

System Analysis and Operations Research

Reconstructing 2-complexes by a nonnegative integer-valued vector

A. V. Mokryakovab, V. I. Tsurkovc

a MATI – Tsiolkovsky Russian State Technology University, Moscow, Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
c Dorodnicyn Computing Centre, Russian Academy of Sciences, Moscow, Russia

Abstract: Over the last decade, hypergraphs have seen a lot of use in electrotechnical problems, network design, multiindex transportation problems, computer modeling of complex dynamical systems, representations of complex industrial control systems, and many other applied problems. For some of these problems (e.g., multiindex transportation problems), a better representation is given by 2-complexes, a special class of hypergraphs in which each edge is incident to three vertices. It is known that each hypergraph corresponds to the vector of degrees of its vertices, but the converse does not hold. In this work, we consider the problem of reconstructing (implementing, realizing) a 2-complex from an arbitrary vector.

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English version:
Automation and Remote Control, 2011, 72:12, 2541–2552

Bibliographic databases:

Document Type: Article
Presented by the member of Editorial Board: A. A. Lazarev

Received: 10.05.2011

Citation: A. V. Mokryakov, V. I. Tsurkov, “Reconstructing 2-complexes by a nonnegative integer-valued vector”, Avtomat. i Telemekh., 2011, no. 12, 130–143; Autom. Remote Control, 72:12 (2011), 2541–2552

Citation in format AMSBIB
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\paper Reconstructing 2-complexes by a~nonnegative integer-valued vector
\jour Avtomat. i Telemekh.
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\issue 12
\pages 130--143
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\jour Autom. Remote Control
\yr 2011
\vol 72
\issue 12
\pages 2541--2552
\crossref{https://doi.org/10.1134/S0005117911120095}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Kostyanoi D.S., Mokryakov A.V., Tsurkov V.I., “Hypergraph Recovery Algorithms From a Given Vector of Vertex Degrees”, J. Comput. Syst. Sci. Int., 53:4 (2014), 511–516  crossref  mathscinet  zmath  isi  elib  scopus
    2. Litvinchev I. Infante L. Ozuna L., “Packing Circular-Like Objects in a Rectangular Container”, J. Comput. Syst. Sci. Int., 54:2 (2015), 259–267  crossref  mathscinet  zmath  isi  elib  scopus
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