Orthogonality for (0, −1) tropical normal matrices-Reference-Cited by-同舟云学术

Orthogonality for (0, −1) tropical normal matrices

Published:2020-02-17 Issue:1 Volume:8 Page:40-60
ISSN:2300-7451
Container-title:Special Matrices
language:
Short-container-title:

Author:

Bakhadly Bakhad¹,Guterman Alexander²,de la Puente María Jesús³

Affiliation:

1. Department of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, 119991, Russia

2. Department of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, 119991, Russia; Moscow Institute of Physics and Technology, Dolgoprudny, 141701, Russia

3. Departamento de Álgebra, Geometría y Topología, Facultad de Matemáticas, Plaza de Ciencias, 3, Universidad Complutense UCM, 28040–Madrid, Spain

Abstract

AbstractWe 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2020-0006/pdf

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