On mixed metric dimension in subdivision, middle, and total graphs

DOI10.2989/16073606.2023.2169206zbMath1527.05051arXiv2206.04983MaRDI QIDQ6070466

Ismael González Yero, Ali Ghalavand, M. Tavakoli, Sandi Klavžar

Publication date: 21 November 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.04983

zbMATH Keywords

treeresolving setsubdivision graphtotal graphmiddle graphedge resolving setmixed resolving set

Mathematics Subject Classification ID

Trees (05C05) Structural characterization of families of graphs (05C75) Distance in graphs (05C12) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Graph operations (line graphs, products, etc.) (05C76)

Related Items (1)

Graphs whose mixed metric dimension is equal to their order

Cites Work

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• On a construction using commuting regular graphs
• Zeta functions of line, middle, total graphs of a graph and their coverings
• Traversability and connectivity of the middle graph of a graph
• Uniquely identifying the edges of a graph: the edge metric dimension
• Mixed metric dimension of graphs
• \(k\)-metric antidimension: a privacy measure for social graphs
• Mixed metric dimension of graphs with edge disjoint cycles
• Vertex and edge metric dimensions of unicyclic graphs
• Edge metric dimension of some generalized Petersen graphs
• Low-dimensional representation of genomic sequences
• Metric bases in digital geometry
• Structure-activity maps for visualizing the graph variables arising in drug design
• Total Graphs and Traversability

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