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Bond Incident Degree Indices of Catacondensed Pentagonal Systems

Author

Listed:
  • Yongsheng Rao
  • Adnan Aslam
  • Muhammad Unfowan Noor
  • A. Othman Almatroud
  • Zehui Shao

Abstract

The bond incident degree (BID) indices can be written as a linear combination of the number of edges with end vertices of degree and . We introduce two transformations, namely, linearizing and unbranching, on catacondensed pentagonal systems and show that BID indices are monotone with respect to these transformations. We derive a general expression for calculating the BID indices of any catacondensed pentagonal system with a given number of pentagons, angular pentagons, and branched pentagons. Finally, we characterize the CPSs for which BID indices assume extremal values and compute their BID indices.

Suggested Citation

  • Yongsheng Rao & Adnan Aslam & Muhammad Unfowan Noor & A. Othman Almatroud & Zehui Shao, 2020. "Bond Incident Degree Indices of Catacondensed Pentagonal Systems," Complexity, Hindawi, vol. 2020, pages 1-7, August.
    • Handle: RePEc:hin:complx:4935760
    DOI: 10.1155/2020/4935760
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    Cited by:

    1. Abeer M. Albalahi & Akbar Ali & Zhibin Du & Akhlaq Ahmad Bhatti & Tariq Alraqad & Naveed Iqbal & Amjad E. Hamza, 2022. "On Bond Incident Degree Indices of Chemical Graphs," Mathematics, MDPI, vol. 11(1), pages 1-13, December.
    2. Sun, Wensheng & Yang, Yujun, 2023. "Extremal pentagonal chains with respect to the Kirchhoff index," Applied Mathematics and Computation, Elsevier, vol. 437(C).

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