Metric Dimension of Crystal Cubic Carbon Structure

For any given graph G, we say W⊆VG is a resolving set or resolves the 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 all the resolving sets. The study of metric dimension of chemical structu...

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Bibliographic Details
Main Authors: Xiujun Zhang, Muhammad Naeem
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/3438611
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Summary:For any given graph G, we say W⊆VG is a resolving set or resolves the 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 all the resolving sets. The study of metric dimension of chemical structures is increasing in recent times and it has application about the topology of such structures. The carbon atoms can bond together in various ways, called allotropes of carbon, one of which is crystal cubic carbon structure CCCn. The aim of this article is to find the metric dimension of CCCn.
ISSN:2314-4629
2314-4785