In this paper we characterize surjective linear maps on matrices over antinegative semirings that preserve the set of matrices with maximal or minimal positive values of the scrambling index.
Bibliographical noteFunding Information:
Acknowledgement: The work is financially supported by the Russian Science Foundation grant, the project N. 17-11-01124. The authors are grateful to the referees for valuable comments.
© 2018 Dimitrios Christou et al.
- directed graphs
- nonnegative matrices
- scrambling index