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Diskretnyi Analiz i Issledovanie Operatsii, 2013, Volume 20, Issue 3, Pages 65–70 (Mi da732)  
This article is cited in 4 scientific papers (total in 4 papers)

On monomials in quadratic forms

A. V. Seliverstov

Kharkevich Institute for Information Transmision Problems RAS, 19 build. 1, Bolshoy Karetny Lane, 127994 Moscow, Russia
Full-text PDF (225 kB) Citations (4)
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Abstract: There are proved some restrictions on the zero-nonzero pattern of entries in a matrix of the real quadratic form which reaches its minimum value on a large set of vertices of the multidimensional cube centered at the origin whose edges are parallel to the coordinate axes. In particular, if the graph of the matrix contains an articulation point then the set of minima of the corresponding quadratic form is not maximal (with respect to set inclusion) among all such sets for various quadratic forms. Bibliogr. 21.
Keywords: combinatorial optimization, quadratic form, polytope, facet, graph, matrix.
Received: 28.06.2012
Revised: 10.01.2013
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 3, Pages 431–434
DOI: https://doi.org/10.1134/S1990478913030162
Bibliographic databases:
Document Type: Article
UDC: 514.172.45
Language: Russian
Citation: A. V. Seliverstov, “On monomials in quadratic forms”, Diskretn. Anal. Issled. Oper., 20:3 (2013), 65–70; J. Appl. Industr. Math., 7:3 (2013), 431–434
Citation in format AMSBIB
\Bibitem{Sel13}
\by A.~V.~Seliverstov
\paper On monomials in quadratic forms
\jour Diskretn. Anal. Issled. Oper.
\yr 2013
\vol 20
\issue 3
\pages 65--70
\mathnet{http://mi.mathnet.ru/da732}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3135744}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 3
\pages 431--434
\crossref{https://doi.org/10.1134/S1990478913030162}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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