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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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/3438611 |
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| _version_ | 1849307620352983040 |
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| author | Xiujun Zhang Muhammad Naeem |
| author_facet | Xiujun Zhang Muhammad Naeem |
| author_sort | Xiujun Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2ac10027b70e4a0bb235e54520d0ea0d |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2ac10027b70e4a0bb235e54520d0ea0d2025-08-20T03:54:42ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/34386113438611Metric Dimension of Crystal Cubic Carbon StructureXiujun Zhang0Muhammad Naeem1School of Computer Science, Chengdu University, Chengdu, ChinaDepartment of Mathematics and Statistics, Institute of Southern Punjab, Multan, PakistanFor 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.http://dx.doi.org/10.1155/2021/3438611 |
| spellingShingle | Xiujun Zhang Muhammad Naeem Metric Dimension of Crystal Cubic Carbon Structure Journal of Mathematics |
| title | Metric Dimension of Crystal Cubic Carbon Structure |
| title_full | Metric Dimension of Crystal Cubic Carbon Structure |
| title_fullStr | Metric Dimension of Crystal Cubic Carbon Structure |
| title_full_unstemmed | Metric Dimension of Crystal Cubic Carbon Structure |
| title_short | Metric Dimension of Crystal Cubic Carbon Structure |
| title_sort | metric dimension of crystal cubic carbon structure |
| url | http://dx.doi.org/10.1155/2021/3438611 |
| work_keys_str_mv | AT xiujunzhang metricdimensionofcrystalcubiccarbonstructure AT muhammadnaeem metricdimensionofcrystalcubiccarbonstructure |