On the metric dimension of a zero-divisor graph

DOI10.1080/00927872.2016.1175602zbMath1370.13009OpenAlexW2528931864MaRDI QIDQ2984970

Rameez Raja, Shariefuddin Pirzada

Publication date: 12 May 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1175602

zbMATH Keywords

commutative ringzero-divisor graphmetric-dimension

Mathematics Subject Classification ID

Distance in graphs (05C12) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) General commutative ring theory (13A99)

Related Items (23)

On some applications related with algebraic structures through different well known graphs ⋮ Essential ideals represented by mod-annihilators of modules ⋮ Fault-tolerant metric dimension of zero-divisor graphs of commutative rings ⋮ ON THE STRONG METRIC DIMENSION OF A TOTAL GRAPH OF NONZERO ANNIHILATING IDEALS ⋮ Strong resolving graph of a zero-divisor graph ⋮ Metric dimension of complement of annihilator graphs associated with commutative rings ⋮ Computing the strong metric dimension for co-maximal ideal graphs of commutative rings ⋮ Twin-free cliques in annihilator graphs of commutative rings ⋮ The metric dimension of the zero-divisor graph of a matrix semiring ⋮ Co-unit graphs associated to ring of integers modulo \(n\) ⋮ Metric and upper dimension of zero divisor graphs associated to commutative rings ⋮ The metric dimension of annihilator graphs of commutative rings ⋮ Computing metric dimension of compressed zero divisor graphs associated to rings ⋮ On the metric dimension of strongly annihilating-ideal graphs of commutative rings ⋮ Unnamed Item ⋮ Metric and strong metric dimension in cozero-divisor graphs ⋮ Unnamed Item ⋮ Fixing number and metric dimension of a zero-divisor graph associated with a ring ⋮ On the strong metric dimension of annihilator graphs of commutative rings ⋮ Group-annihilator graphs realised by finite abelian groups and its properties ⋮ The total zero-divisor graph of a commutative ring ⋮ THE METRIC DIMENSION OF THE ANNIHILATING-IDEAL GRAPH OF A FINITE COMMUTATIVE RING ⋮ On graphs with same metric and upper dimension

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• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• On Metric Generators of Graphs

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