Orthogonality for (0, −1) tropical normal matrices

Bakhadly, BakhadGuterman, AlexanderPuente Muñoz, María Jesús De La2024-06-102024-06-1020202300-745110.1515/spma-2020-0006https://hdl.handle.net/20.500.14352/104820We 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Orthogonality for (0, −1) tropical normal matricesjournal articlehttps://doi.org/10.1515/spma-2020-0006open accessSemiringsNormal matricesOrthogonality relationGraphsTropical algebraÁlgebraGeometria algebraica1201 Álgebra1201.01 Geometría Algebraica