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Symmetry 2018, 10(8), 300;

Computing Metric Dimension and Metric Basis of 2D Lattice of Alpha-Boron Nanotubes

Department of Mathematics and Statistics, the University of Lahore, Lahore 54000, Pakistan
Division of Science and Technology, University of Education, Lahore 54000, Pakistan
Department of Mathematics and RINS, Gyeongsang National University, Jinju 52828, Korea
Center for General Education, China Medical University, Taichung 40402, Taiwan
Authors to whom correspondence should be addressed.
Received: 16 June 2018 / Revised: 15 July 2018 / Accepted: 19 July 2018 / Published: 25 July 2018
(This article belongs to the Special Issue Symmetry in Graph Theory)
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Concepts of resolving set and metric basis has enjoyed a lot of success because of multi-purpose applications both in computer and mathematical sciences. For a connected graph G(V,E) a subset W of V(G) is a resolving set for G if every two vertices of G have distinct representations with respect to W. A resolving set of minimum cardinality is called a metric basis for graph G and this minimum cardinality is known as metric dimension of G. Boron nanotubes with different lattice structures, radii and chirality’s have attracted attention due to their transport properties, electronic structure and structural stability. In the present article, we compute the metric dimension and metric basis of 2D lattices of alpha-boron nanotubes. View Full-Text
Keywords: alpha-boron nanotube; resolving set; metric basis; metric dimension alpha-boron nanotube; resolving set; metric basis; metric dimension

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Hussain, Z.; Munir, M.; Chaudhary, M.; Kang, S.M. Computing Metric Dimension and Metric Basis of 2D Lattice of Alpha-Boron Nanotubes. Symmetry 2018, 10, 300.

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