Work

Orthogonality for $(0,-1)$ tropical normal matrices

Year: 2020

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2009.13218

Authors: Bakhadly, Bakhad, Guterman, Alexander, de la Puente, María Jesús

Institutions: Lomonosov Moscow State University, Moscow Institute of Physics and Technology, Universidad Complutense de Madrid

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Economía y Competitividad, Russian Science Foundation

Awards: G3346040866, G6956962096

OpenAlex ID: W3087968276

Cites: 15

Cited by:

Related to: 20