On the Upper Bounds of Fractional Metric Dimension of Symmetric Networks
Author(s) -
Muhammad Javaid,
Muhammad Kamran Aslam,
Jia Liu
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/8417127
Subject(s) - centrality , mathematics , robustness (evolution) , metric (unit) , dimension (graph theory) , modularity (biology) , upper and lower bounds , metric dimension , theoretical computer science , discrete mathematics , combinatorics , computer science , mathematical analysis , graph , biochemistry , chemistry , operations management , genetics , 1 planar graph , line graph , biology , economics , gene
Distance-based numeric parameters play a pivotal role in studying the structural aspects of networks which include connectivity, accessibility, centrality, clustering modularity, complexity, vulnerability, and robustness. Several tools like these also help to resolve the issues faced by the different branches of computer science and chemistry, namely, navigation, image processing, biometry, drug discovery, and similarities in chemical compounds. For this purpose, in this article, we are considering a family of networks that exhibits rotationally symmetric behaviour known as circular ladders consisting of triangular, quadrangular, and pentagonal faced ladders. We evaluate their upper bounds of fractional metric dimensions of the aforementioned networks.
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