On the Metric Dimension of Generalized Tensor Product of Interval with Paths and Cycles

Song Li, Jia-Bao Liu, Mobeen Munir and Mehdi Ghatee

Journal of Mathematics, 2020, vol. 2020, 1-6

Abstract: The concept of minimum resolving set for a connected graph has played a vital role in Robotic navigation, networking, and in computer sciences. In this article, we investigate the values of m and n for which P2⊗mPn and P2⊗mCn are connected and find metric dimension in this case. We also conclude that, for each m, we obtain a new regular family of constant metric dimension. We also give a basis for these graphs and presentation of resolving vector in general closed form with respect to the basis.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2168713

DOI: 10.1155/2020/2168713

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