Computing Sharp Bounds of Metric Based Fractional Dimensions for the Sierpinski Networks

Arooba Fatima, Ahmed Alamer and Muhammad Javaid ()
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Arooba Fatima: Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan
Ahmed Alamer: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
Muhammad Javaid: Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan

Mathematics, 2022, vol. 10, issue 22, 1-12

Abstract: The concept of metric dimension is widely applied to solve various problems in the different fields of computer science and chemistry, such as computer networking, integer programming, robot navigation, and the formation of chemical structuring. In this article, the local fractional metric dimension (LFMD) of the cycle-based Sierpinski networks is computed with the help of its local resolving neighborhoods of all the adjacent pairs of vertices. In addition, the boundedness of LFMD is also examined as the order of the Sierpinski networks approaches infinity.

Keywords: fractional metric dimension; Sierpinski networks; metric index; distance in networks (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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