On the dominant local metric dimension of some planar graphs

DOI10.1142/s179383092250152xzbMath1523.05006MaRDI QIDQ6059069

Unnamed Author, Vijay Kumar Bhat

Publication date: 2 November 2023

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

zbMATH Keywords

dominating setlocal resolving setdominant local metric dimensiondominant local resolving set

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Distance in graphs (05C12) Graph algorithms (graph-theoretic aspects) (05C85) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Cites Work

• On the metric dimension of barycentric subdivision of Cayley graphs
• On the local metric dimension of corona product graphs
• Resolvability in graphs and the metric dimension of a graph
• Metric-locating-dominating sets of graphs for constructing related subsets of vertices
• Landmarks in graphs
• On the Metric Dimension of Cartesian Products of Graphs
• Metric bases in digital geometry
• Structure-activity maps for visualizing the graph variables arising in drug design
• Resolving domination in graphs
• Computing the local metric dimension of a graph from the local metric dimension of primary subgraphs
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