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Article type: Research Article
Authors: Prabhu, S.a; * | Flora, T.b | Arulperumjothi, M.c
Affiliations: [a] Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur, India | [b] Department of Mathematics, Sri Sairam Institute of Technology, Chennai, India | [c] Department of Mathematics, Loyola College, Chennai, India
Correspondence: [*] Corresponding author. S. Prabhu, Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur, 602117, India. E-mail: drprabhu@svce.ac.in.
Abstract: Let G (V, E) be a Graph. A set W ⊆ V of vertices resolves a graph G if every vertex of G is uniquely determined by its vector of distances to the vertices in W. The metric dimension of G is the minimum cardinality of a resolving set. By imposing different conditions on W we get conditional resolving sets. A resolving set W is said to be an independent resolving set if W contains isolated vertices. Independent resolving number denoted by ir(G) is referred to its cardinality. In this paper we investigate independent resolving number for Titanium dioxide Nanotube.
Keywords: Metric dimension, independent resolving set, independent resolving number, Titanium dioxide, Nanotube, Nanostructure
DOI: 10.3233/JIFS-181314
Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 6, pp. 6421-6425, 2018
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