Automorphism group of the total graph over a matrix ring

DOI10.1080/03081087.2016.1197176zbMath1356.05071OpenAlexW2435437305MaRDI QIDQ2961490

Dein Wong, Jinming Zhou, Xiaobin Ma

Publication date: 20 February 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1197176

zbMATH Keywords

clique numberautomorphisms of graphstotal graph over a ring

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Determinants, permanents, traces, other special matrix functions (15A15) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other matrix groups over fields (20H20)

Related Items (5)

Pairs of maps preserving singularity on subsets of matrix algebras ⋮ Classification of the total and regular graphs of three-point sets ⋮ Automorphisms of the total digraph for the ring of square matrices over a field ⋮ Automorphisms of the total graph over upper triangular matrices ⋮ Domination numbers and automorphisms of dual graphs over vector spaces

Cites Work

• The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices
• A note on automorphisms of the zero-divisor graph of upper triangular matrices.
• The clique numbers of regular graphs of matrix algebras are finite
• The total graph and regular graph of a commutative ring
• The total graph of a commutative ring
• The zero-divisor graph of a commutative ring
• On the chromatic number of regular graphs of matrix algebras
• Chromatic number and clique number of subgraphs of regular graph of matrix algebras
• AUTOMORPHISMS OF THE ZERO-DIVISOR GRAPH OVER 2 × 2 MATRICES
• THE GROUP OF GRAPH AUTOMORPHISMS OVER A MATRIX RING
• THE ZERO-DIVISOR GRAPH UNDER GROUP ACTIONS IN A NONCOMMUTATIVE RING

This page was built for publication: Automorphism group of the total graph over a matrix ring