On the Commuting Graph of Dihedral Group

DOI10.1080/00927872.2015.1053488zbMath1339.05176OpenAlexW2342453932MaRDI QIDQ2815399

Shuliang Huang, Muhammad Salman, Faisal Ali

Publication date: 28 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1053488

zbMATH Keywords

dihedral groupmetric dimensioncommuting graphresolving polynomialdetour distant propertiesdistant properties

Mathematics Subject Classification ID

Graph polynomials (05C31) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Commutativity of matrices (15A27) Distance in graphs (05C12) Vertex degrees (05C07)

Related Items (23)

Perfect codes and universal adjacency spectra of commuting graphs of finite groups ⋮ Metric and strong metric dimension in commuting graphs of finite groups ⋮ Unnamed Item ⋮ Commuting involution graphs for ⋮ Metric dimension of complement of annihilator graphs associated with commutative rings ⋮ On the metric determination of linear dependence graph ⋮ The metric dimension of the zero-divisor graph of a matrix semiring ⋮ On Distance Laplacian (Signless) Eigenvalues of Commuting Graphs of Dihedral and Dicyclic Groups ⋮ The adjacency spectrum and metric dimension of an induced subgraph of comaximal graph of ℤn ⋮ Commuting graph of CA−groups ⋮ Metric Properties of Non-Commuting Graph Associated to Two Groups ⋮ DISTANCE LAPLACIAN SPECTRUM OF THE COMMUTING GRAPH OF FINITE CA-GROUPS ⋮ The metric dimension of annihilator graphs of commutative rings ⋮ Commuting graphs of generalized dihedral groups ⋮ On the metric dimension of strongly annihilating-ideal graphs of commutative rings ⋮ Metric and strong metric dimension in cozero-divisor graphs ⋮ On the non-commuting graph of dihedral group ⋮ On the strong metric dimension of annihilator graphs of commutative rings ⋮ On the commuting graph of semidihedral group ⋮ THE METRIC DIMENSION OF THE ANNIHILATING-IDEAL GRAPH OF A FINITE COMMUTATIVE RING ⋮ The connectivity and the spectral radius of commuting graphs on certain finite groups ⋮ The metric dimension & distance spectrum of non-commuting graph of dihedral group ⋮ Distance Laplacian spectra of various graph operations and its application to graphs on algebraic structures

Cites Work

• Unnamed Item
• Commuting graphs of matrices over semirings.
• Commuting graphs of full matrix rings over finite fields.
• The total graph of a commutative ring
• The zero-divisor graph of a commutative ring
• Resolvability in graphs and the metric dimension of a graph
• Resolvability in circulant graphs
• The connectivity of commuting graphs
• On Metric Generators of Graphs

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