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.
| Original language | English |
|---|---|
| Pages (from-to) | 112-118 |
| Number of pages | 7 |
| Journal | Special Matrices |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2021 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2021 De Gruyter. All rights reserved.
Keywords
- Cyclicity index
- Linear preservers
- Tropical linear algebra