English

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

Rings and Algebras 2020-09-29 v1

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.

Keywords

Cite

@article{arxiv.2009.13218,
  title  = {Orthogonality for $(0,-1)$ tropical normal matrices},
  author = {Bakhad Bakhadly and Alexander Guterman and María Jesús de la Puente},
  journal= {arXiv preprint arXiv:2009.13218},
  year   = {2020}
}
R2 v1 2026-06-23T18:50:33.530Z