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    ARTICLE

    Bounds on Fractional-Based Metric Dimension of Petersen Networks

    Dalal Awadh Alrowaili1, Mohsin Raza2, Muhammad Javaid2,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.3, pp. 2697-2713, 2023, DOI:10.32604/cmes.2023.023017 - 23 November 2022

    Abstract 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 or metric 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. More >

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