Fixing number and metric dimension of a zero-divisor graph associated with a ring

DOI10.1080/03081087.2020.1815639zbMath1472.05066OpenAlexW3094741127MaRDI QIDQ4959288

Fenglei Tian, Dein Wong, Shikun Ou, Qi Zhou

Publication date: 13 September 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1815639

zbMATH Keywords

ringsfixing numbermetric dimensionzero-divisor graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graph theory (05C99)

Related Items (4)

Strong resolving graph of a zero-divisor graph ⋮ The metric dimension of the zero-divisor graph of a matrix semiring ⋮ The forcing metric dimension of a total graph of nonzero annihilating ideals ⋮ The automorphism group and fixing number of orthogonality graph over a vector space

Cites Work

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• The metric dimension of annihilator graphs of commutative rings
• On the Metric Dimension of Cartesian Products of Graphs
• The Metric Dimension of the Total Graph of a Finite Commutative Ring

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