Generators of the automorphism group of a regular graph over a ring

DOI10.1080/03081087.2016.1225662zbMath1360.05080OpenAlexW2509445628MaRDI QIDQ2979484

Dein Wong, Fenglei Tian

Publication date: 25 April 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1225662

zbMATH Keywords

automorphismsregular graphtotal graph

Mathematics Subject Classification ID

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 (2)

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.
• On endomorphisms of alternating forms graph
• 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
• Graphs associated with matrices over finite fields and their endomorphisms
• THE GROUP OF GRAPH AUTOMORPHISMS OVER A MATRIX RING
• THE ZERO-DIVISOR GRAPH UNDER GROUP ACTIONS IN A NONCOMMUTATIVE RING

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