Linear transformations of tropical matrices preserving the cyclicity index

Autor: Guterman Alexander, Kreines Elena, Thomassen Carsten
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Special Matrices, Vol 9, Iss 1, Pp 112-118 (2021)
Druh dokumentu: article
ISSN: 2300-7451
DOI: 10.1515/spma-2020-0128
Popis: We combine matrix theory and graph theory methods to give a complete characterization of the surjective linear transformations of tropical matrices that preserve the cyclicity index. We show that there are non-surjective linear transformations that preserve the cyclicity index and we leave it open to characterize those.
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