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Bounds on Fractional-Based Metric Dimension of Petersen Networks
Journal article   Open access

Bounds on Fractional-Based Metric Dimension of Petersen Networks

Dalal Awadh Alrowali, Mohsin Raza and Muhammad Javaid
Computer modeling in engineering & sciences, Vol.135(3), pp.2697-2713
01/01/2023
DOI: https://doi.org/10.32604/cmes.2023.023017

Abstract

Engineering Engineering, Multidisciplinary Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology Technology
The problem of investigating the minimum set of landmarks consisting of auto-machines (Robots) in a connected network is studied with the concept of location number ormetric dimension of this network. In this paper, we study the latest type of metric dimension called as local fractional metric dimension (LFMD) and find its upper bounds for generalized Petersen networks GP(n, 3), where n >= 7. For n >= 9. The limiting values of LFMD for GP(n, 3) are also obtained as 1 (bounded) if n approaches to infinity.
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https://doi.org/10.32604/cmes.2023.023017View
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