Orthogonality for (0, −1) tropical normal matrices

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 orthogonalityequivalence relation are computed.

Detalles Bibliográficos
Autores: Bakhadly, Bakhad, Guterman, Alexander, Puente Muñoz, María Jesús De La
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/104820
Acceso en línea:https://hdl.handle.net/20.500.14352/104820
Access Level:acceso abierto
Palabra clave:Semirings
Normal matrices
Orthogonality relation
Graphs
Tropical algebra
Álgebra
Geometria algebraica
1201 Álgebra
1201.01 Geometría Algebraica
Descripción
Sumario: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 orthogonalityequivalence relation are computed.

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