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Reformulated Zagreb Indices of Some Derived Graphs

Author

Listed:
  • Jia-Bao Liu

    (School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China)

  • Bahadur Ali

    (Department of Mathematics, University of the Punjab, Lahore 54000, Pakistan)

  • Muhammad Aslam Malik

    (Department of Mathematics, University of the Punjab, Lahore 54000, Pakistan)

  • Hafiz Muhammad Afzal Siddiqui

    (Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan)

  • Muhammad Imran

    (School of Natural Sciences, National University of Sciences and Technology, Islamabad H-12, Pakistan
    Current address: Department of Mathematical Sciences, United Arab Emirates University, Al Ain P.O. Box 15551, UAE.)

Abstract

A topological index is a numeric quantity that is closely related to the chemical constitution to establish the correlation of its chemical structure with chemical reactivity or physical properties. Miličević reformulated the original Zagreb indices in 2004, replacing vertex degrees by edge degrees. In this paper, we established the expressions for the reformulated Zagreb indices of some derived graphs such as a complement, line graph, subdivision graph, edge-semitotal graph, vertex-semitotal graph, total graph, and paraline graph of a graph.

Suggested Citation

  • Jia-Bao Liu & Bahadur Ali & Muhammad Aslam Malik & Hafiz Muhammad Afzal Siddiqui & Muhammad Imran, 2019. "Reformulated Zagreb Indices of Some Derived Graphs," Mathematics, MDPI, vol. 7(4), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:366-:d:224913
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    Citations

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    Cited by:

    1. Bin Yang & Vinayak V. Manjalapur & Sharanu P. Sajjan & Madhura M. Mathai & Jia-Bao Liu, 2019. "On Extended Adjacency Index with Respect to Acyclic, Unicyclic and Bicyclic Graphs," Mathematics, MDPI, vol. 7(7), pages 1-9, July.

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