Orthogonality for (0, −1) tropical normal matrices

Bakhadly Bakhad; Guterman Alexander; de la Puente María Jesús

doi:10.1515/spma-2020-0006

Special Matrices (Feb 2020)

Orthogonality for (0, −1) tropical normal matrices

Bakhadly Bakhad,
Guterman Alexander,
de la Puente María Jesús

Affiliations

Bakhadly Bakhad: Department of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, 119991, Russia
Guterman Alexander: Department of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, 119991, Russia; Moscow Institute of Physics and Technology, Dolgoprudny, 141701, Russia
de la Puente María Jesús: Departamento de Álgebra, Geometría y Topología, Facultad de Matemáticas, Plaza de Ciencias, 3, Universidad Complutense UCM, 28040–Madrid, Spain

DOI: https://doi.org/10.1515/spma-2020-0006
Journal volume & issue: Vol. 8, no. 1
pp. 40 – 60

Abstract

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We study pairs of mutually orthogonal normal matrices with respect to tropical multiplication. Minimal orthogonal pairs are characterized. The diameter and girth of three graphs arising from the orthogonality equivalence relation are computed.

Published in Special Matrices

ISSN: 2300-7451 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/spma/html

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