Orthogonality for (0,-1) tropical normal matrices

Bakhad Bakhadly; Alexander Guterman; Mariá Jesús De La Puente

doi:10.1515/spma-2020-0006

Orthogonality for (0,-1) tropical normal matrices

Bakhad Bakhadly, Alexander Guterman, Mariá Jesús De La Puente

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	40-60
Number of pages	21
Journal	Special Matrices
Volume	8
Issue number	1
DOIs	https://doi.org/10.1515/spma-2020-0006
State	Published - 1 Jan 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020 Bakhad Bakhadly et al., published by De Gruyter 2020.

Keywords

graphs
normal matrices
orthogonality relation
semirings
tropical algebra

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10.1515/spma-2020-0006

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title = "Orthogonality for (0,-1) tropical normal matrices",

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.",

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author = "Bakhad Bakhadly and Alexander Guterman and {De La Puente}, {Mari{\'a} Jes{\'u}s}",

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AU - Guterman, Alexander

AU - De La Puente, Mariá Jesús

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AB - 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.

KW - graphs

KW - normal matrices

KW - orthogonality relation

KW - semirings

KW - tropical algebra

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Orthogonality for (0,-1) tropical normal matrices

Abstract

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Keywords

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