Graphs defined by orthogonality

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

doi:10.1007/s10958-015-2393-6

Graphs defined by orthogonality

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

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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 and to 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 over an arbitrary field and its subsets consisting of diagonal, diagonalizable, triangularizable, and nilpotent matrices are computed. Bibliography: 36 titles.

Original language	English
Pages (from-to)	698-717
Number of pages	20
Journal	Journal of Mathematical Sciences
Volume	207
Issue number	5
DOIs	https://doi.org/10.1007/s10958-015-2393-6
State	Published - Jun 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015, Springer Science+Business Media New York.

Funding

Funders	Funder number
Russian Foundation for Basic Research	MD-962.2014.01, 12-01-00140a

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10.1007/s10958-015-2393-6

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Graphs defined by orthogonality

Abstract

Bibliographical note

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