The metric dimension of annihilator graphs of commutative rings

DOI10.1142/S0219498820500899zbMath1442.13020OpenAlexW2930107546WikidataQ114614678 ScholiaQ114614678MaRDI QIDQ3296142

V. Soleymanivarniab, Reza Nikandish, Abolfazl Tehranian

Publication date: 7 July 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820500899

zbMATH Keywords

commutative ringmetric dimensionzero-divisorannihilator graph

Mathematics Subject Classification ID

Distance in graphs (05C12) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (7)

Metric dimension of complement of annihilator graphs associated with commutative rings ⋮ The metric dimension of the zero-divisor graph of a matrix semiring ⋮ 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 ⋮ The metric dimension & distance spectrum of non-commuting graph of dihedral group

Cites Work

• More on the annihilator graph of a commutative ring
• The zero-divisor graph of a commutative ring
• Resolvability in graphs and the metric dimension of a graph
• Landmarks in graphs
• On locating numbers and codes of zero divisor graphs associated with commutative rings
• On the Commuting Graph of Dihedral Group
• Coloring of the annihilator graph of a commutative ring
• ON GRAPHS ASSOCIATED WITH MODULES OVER COMMUTATIVE RINGS
• Locating sets and numbers of graphs associated to commutative rings
• On the metric dimension of a zero-divisor graph
• The Metric Dimension of the Total Graph of a Finite Commutative Ring
• On the Annihilator Graph of a Commutative Ring
• On Metric Generators of Graphs
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