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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 49–80 (Mi znsl6052)  
This article is cited in 14 scientific papers (total in 14 papers)

Graphs defined by orthogonality

B. R. Bakhadly, A. E. Guterman, O. V. Markova

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia
Full-text PDF (308 kB) Citations (14)
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Abstract: The notion of graph generated by the mutual orthogonality relation for the elements of an associative ring is introduced. The main attention is paid to the commutative rings, the matrix ring over a field and its various subrings and subsets. In particular, the diameters of the orthogonality graphs of the full matrix algebra and its subsets consisting of diagonal, diagonalizable, triangularizable, and nilpotent matrices over an arbitrary field are computed.
Key words and phrases: orthogonality, graphs, matrices.
Received: 02.11.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 5, Pages 698–717
DOI: https://doi.org/10.1007/s10958-015-2393-6
Bibliographic databases:
Document Type: Article
UDC: 512.643+512.552
Language: Russian
Citation: B. R. Bakhadly, A. E. Guterman, O. V. Markova, “Graphs defined by orthogonality”, Computational methods and algorithms. Part XXVII, Zap. Nauchn. Sem. POMI, 428, POMI, St. Petersburg, 2014, 49–80; J. Math. Sci. (N. Y.), 207:5 (2015), 698–717
Citation in format AMSBIB
\Bibitem{BakGutMar14}
\by B.~R.~Bakhadly, A.~E.~Guterman, O.~V.~Markova
\paper Graphs defined by orthogonality
\inbook Computational methods and algorithms. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 428
\pages 49--80
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6052}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 5
\pages 698--717
\crossref{https://doi.org/10.1007/s10958-015-2393-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949623888}
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  • https://www.mathnet.ru/eng/znsl/v428/p49
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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