保持循环指数的热带矩阵的线性变换

IF 0.8 Q2 MATHEMATICS

Special Matrices Pub Date : 2021-01-01 DOI:10.1515/spma-2020-0128

A. Guterman, E. Kreines, C. Thomassen

引用次数: 2

摘要

摘要结合矩阵理论和图论方法，给出了热带矩阵保持循环指数的满射线性变换的完整刻画。我们证明了存在保持循环指数的非满射线性变换，并且我们留下了对它们进行刻画的空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Linear transformations of tropical matrices preserving the cyclicity index

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.

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来源期刊

Special Matrices MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

8 weeks

期刊介绍： Special Matrices publishes original articles of wide significance and originality in all areas of research involving structured matrices present in various branches of pure and applied mathematics and their noteworthy applications in physics, engineering, and other sciences. Special Matrices provides a hub for all researchers working across structured matrices to present their discoveries, and to be a forum for the discussion of the important issues in this vibrant area of matrix theory. Special Matrices brings together in one place major contributions to structured matrices and their applications. All the manuscripts are considered by originality, scientific importance and interest to a general mathematical audience. The journal also provides secure archiving by De Gruyter and the independent archiving service Portico.