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

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  • Song Li
  • Jia-Bao Liu
  • Mobeen Munir
  • Mehdi Ghatee

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.

Suggested Citation

  • Song Li & Jia-Bao Liu & Mobeen Munir & Mehdi Ghatee, 2020. "On the Metric Dimension of Generalized Tensor Product of Interval with Paths and Cycles," Journal of Mathematics, Hindawi, vol. 2020, pages 1-6, August.
    • Handle: RePEc:hin:jjmath:2168713
    DOI: 10.1155/2020/2168713
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