Automorphisms of the subgroup-relation graph over the group of unit upper triangular matrices

DOI10.1080/03081087.2015.1068268zbMath1335.05076OpenAlexW1493694884MaRDI QIDQ2805681

Long Wang

Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1068268

zbMATH Keywords

directed graphsgraph automorphismsgraphs based on matrices

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite fields and commutative rings (number-theoretic aspects) (11T99) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices
• Full automorphism group of generalized unitary graphs
• A note on automorphisms of the zero-divisor graph of upper triangular matrices.
• Unitary graphs and their automorphisms
• The clique numbers of regular graphs of matrix algebras are finite
• Subconstituents of symplectic graphs
• Orthogonal graphs of characteristic 2 and their automorphisms
• More on symplectic graphs modulo \(p^n\)
• On symplectic graphs modulo \(p^{n}\)
• Chromatic number and clique number of subgraphs of regular graph of matrix algebras
• Subconstituents of orthogonal graphs of odd characteristic
• Full automorphism group of the generalized symplectic graph
• Symplectic graphs and their automorphisms
• Zero Divisor Graphs of Upper Triangular Matrix Rings
• The nullity ofk-cyclic graphs of ∞-type
• Automorphisms of Subconstituents of Symplectic Graphs

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