On the edge metric dimension and Wiener index of the blow up of graphs

DOI10.1285/i15900932v40n2p99zbMath1475.05033OpenAlexW3171917665MaRDI QIDQ5000404

Mojgan Afkhami

Publication date: 13 July 2021

Full work available at URL: http://siba-ese.unisalento.it/index.php/notemat/article/view/23510

zbMATH Keywords

Wiener indexhyper-Wiener indexzero divisor graphedge metric dimensionblow up of a graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Graph operations (line graphs, products, etc.) (05C76) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Cites Work

• Adjacency matrices of zero-divisor graphs of integers modulo \(n\)
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Resolvability and the upper dimension of graphs
• Resolvability in graphs and the metric dimension of a graph
• Wiener index of hexagonal systems
• Uniquely identifying the edges of a graph: the edge metric dimension
• On the edge dimension of a graph
• Edge metric dimension of some graph operations
• Wiener index, hyper-Wiener index, Harary index and Hamiltonicity properties of graphs
• Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)
• A theorem on Wiener-type invariants for isometric subgraphs of hypercubes
• Complemented zero-divisor graphs and Boolean rings
• On iteration digraph and zero-divisor graph of the ring ℤ n
• Zero-divisor graphs in commutative rings
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