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Metric Dimension of Crystal Cubic Carbon Structure
Journal of Mathematics ( IF 1.4 ) Pub Date : 2021-07-02 , DOI: 10.1155/2021/3438611 Xiujun Zhang 1 , Muhammad Naeem 2
Journal of Mathematics ( IF 1.4 ) Pub Date : 2021-07-02 , DOI: 10.1155/2021/3438611 Xiujun Zhang 1 , Muhammad Naeem 2
Affiliation
For any given graph , we say is a resolving set or resolves the graph if every vertex of is uniquely determined by its vector of distances to the vertices in . The metric dimension of 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 . The aim of this article is to find the metric dimension of .
中文翻译:
晶体立方碳结构的公制尺寸
对于任何给定的图,我们说如果 的每个顶点都由其到 中的顶点的距离向量唯一确定,则 是解析集或解析图。的度量维度是所有解析集的最小基数。近年来,对化学结构度量维数的研究越来越多,并在此类结构的拓扑学方面得到了应用。碳原子可以通过各种方式结合在一起,称为碳的同素异形体,其中之一是晶体立方碳结构。本文的目的是找到 的度量维度。
更新日期:2021-07-02
中文翻译:
晶体立方碳结构的公制尺寸
对于任何给定的图,我们说如果 的每个顶点都由其到 中的顶点的距离向量唯一确定,则 是解析集或解析图。的度量维度是所有解析集的最小基数。近年来,对化学结构度量维数的研究越来越多,并在此类结构的拓扑学方面得到了应用。碳原子可以通过各种方式结合在一起,称为碳的同素异形体,其中之一是晶体立方碳结构。本文的目的是找到 的度量维度。