On the groups associated with a tropical \(n\times n\) matrix

DOI10.1016/j.laa.2021.12.021OpenAlexW4206576169MaRDI QIDQ2074963

Xianzhong Zhao, Yanliang Cheng, Baomin Yu, Weina Deng

Publication date: 11 February 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2021.12.021

zbMATH Keywords

permutation grouptropical semiringtropical matrixstrongly regular matrixidempotent normal matrix

Mathematics Subject Classification ID

Max-plus and related algebras (15A80) Foundations of tropical geometry and relations with algebra (14T10)

Related Items

Certain congruences on the semiring of normal tropical matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Matrices commuting with a given normal tropical matrix
• On visualization scaling, subeigenvectors and Kleene stars in max algebra
• Tropical matrix groups
• A congruence on the semiring of normal tropical matrices
• Max-algebra: The linear algebra of combinatorics?
• Tropical matrices and group representations
• Classical Groups, Derangements and Primes
• Transitive Permutation Groups Without Semiregular Subgroups
• Recent trends and future directions in vertex-transitive graphs
• Max-linear Systems: Theory and Algorithms
• On problems concerning fixed-point-free permutations and on the polycirculant conjecture-a survey
• Idempotent tropical matrices and finite metric spaces
• On tropical Kleene star matrices and alcoved polytopes

This page was built for publication: On the groups associated with a tropical \(n\times n\) matrix