Computing the metric dimension of convex polytopes generated by wheel related graphs

DOI10.1007/s10474-016-0606-1zbMath1389.05029OpenAlexW2322720345MaRDI QIDQ2400091

Yanyan Li

Publication date: 25 August 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0606-1

zbMATH Keywords

convex polytopebasisresolving setmetric dimensionwheel related graph

Mathematics Subject Classification ID

Distance in graphs (05C12)

Related Items (9)

All metric bases and fault-tolerant metric dimension for square of grid ⋮ On the metric basis in wheels with consecutive missing spokes ⋮ Hamilton-connectedness and Hamilton-laceability of planar geometric graphs with applications ⋮ Getting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and Its Applications ⋮ Fault-tolerant metric dimension of generalized wheels and convex polytopes ⋮ On the fault-tolerant metric dimension of convex polytopes ⋮ On the fault-tolerant metric dimension of certain interconnection networks ⋮ Resolvability and fault-tolerant resolvability structures of convex polytopes ⋮ Binary locating-dominating sets in rotationally-symmetric convex polytopes

Cites Work

• Computing the metric dimension of wheel related graphs
• Families of rotationally-symmetric plane graphs with constant metric dimension
• On classes of regular graphs with constant metric dimension
• On the metric dimension of circulant graphs
• On families of convex polytopes with constant metric dimension
• On \(k\)-dimensional graphs and their bases
• Graph-Theoretic Concepts in Computer Science
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