Journal article
Linear transformations of tropical matrices preserving the cyclicity index
In
Special Matrices
—
2021, Volume 9, Issue 1, pp. 112-118
Abstract
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.
| Language: | English |
|---|---|
| Publisher: | De Gruyter |
| Year: | 2021 |
| Pages: | 112-118 |
| ISSN: | 23007451 |
| Types: | Journal article |
| DOI: | 10.1515/spma-2020-0128 |
| ORCIDs: | Thomassen, Carsten |
Other keywords
Mathematics QA1-939 cyclicity index linear preservers tropical linear algebra
