Linear transformations of tropical matrices preserving the cyclicity index
Alexander Emilevich Guterman, Elena Mikhailovna Kreines, Carsten Thomassen · Special Matrices · 2021
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.