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The maximum Mostar indices of unicyclic graphs with given diameter

Author

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  • Liu, Guorong
  • Deng, Kecai

Abstract

For an edge e=uv in a given graph G, let nGu(e) be the number of vertices which have a less distance from u than that from v. Then |nGu(e)−nGv(e)| is called the contribution of e. The Mostar index is defined as the sum of the edge contributions in G. In this paper, the unicyclic graphs with order n and diameter d, having the greatest Mostar index are determined.

Suggested Citation

  • Liu, Guorong & Deng, Kecai, 2023. "The maximum Mostar indices of unicyclic graphs with given diameter," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    • Handle: RePEc:eee:apmaco:v:439:y:2023:i:c:s0096300322007081
    DOI: 10.1016/j.amc.2022.127636
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    References listed on IDEAS

    as
    1. Deng, Kecai & Li, Shuchao, 2021. "On the extremal values for the Mostar index of trees with given degree sequence," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    2. Ali, Akbar & Došlić, Tomislav, 2021. "Mostar index: Results and perspectives," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    3. Tepeh, Aleksandra, 2019. "Extremal bicyclic graphs with respect to Mostar index," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 319-324.
    Full references (including those not matched with items on IDEAS)

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