The Metric Dimension of the Total Graph of a Finite Commutative Ring

DOI10.4153/CMB-2016-015-5zbMath1356.13028OpenAlexW2321141083MaRDI QIDQ5298270

David Dolžan

Publication date: 14 December 2016

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2016-015-5

zbMATH Keywords

total graphmetric dimensionfinite ring

Mathematics Subject Classification ID

Combinatorial aspects of commutative algebra (05E40) Finite commutative rings (13M99)

Related Items (18)

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 ⋮ Getting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and Its Applications ⋮ Twin-free cliques in annihilator graphs of commutative rings ⋮ The metric dimension of the zero-divisor graph of a matrix semiring ⋮ The adjacency spectrum and metric dimension of an induced subgraph of comaximal graph of ℤn ⋮ The forcing metric dimension of a total graph of nonzero annihilating ideals ⋮ The metric dimension of annihilator graphs of commutative rings ⋮ On the metric dimension of strongly annihilating-ideal graphs of commutative rings ⋮ Metric and strong metric dimension in cozero-divisor graphs ⋮ 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 ⋮ On the commuting graph of semidihedral group ⋮ The total zero-divisor graph of a commutative ring ⋮ THE METRIC DIMENSION OF THE ANNIHILATING-IDEAL GRAPH OF A FINITE COMMUTATIVE RING ⋮ The metric dimension & distance spectrum of non-commuting graph of dihedral group

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