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

Authors
  • hussain, zafar
  • munir, mobeen
  • chaudhary, maqbool
  • kang, shin min
Publication Date
Jul 25, 2018
Identifiers
DOI: 10.3390/sym10080300
OAI: oai:mdpi.com:/2073-8994/10/8/300/
Source
MDPI
Keywords
Language
English
License
Green
External links

Abstract

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&rsquo / 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.

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