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The reformulated Zagreb indices of tricyclic graphs

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  • Ji, Shengjin
  • Qu, Yongke
  • Li, Xia

Abstract

Milic˘evic´ et al. first introduced the reformulated Zagreb indices, which is a generalization of classical Zagreb indices of chemical graph theory. As we know, the Zagreb indices have been found applications in QSPR and QSAR studies. In the paper, we characterize the extremal properties of the first reformulated Zagreb index. We show some graph operations which increase or decrease this index. Furthermore, we determine the sharp bound of the first reformulated Zagreb index among all the extremal tricyclic graphs by these graph operations.

Suggested Citation

  • Ji, Shengjin & Qu, Yongke & Li, Xia, 2015. "The reformulated Zagreb indices of tricyclic graphs," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 590-595.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:590-595
    DOI: 10.1016/j.amc.2015.06.058
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    1. Tsang, Eric W. K., 2014. "Old and New," Management and Organization Review, Cambridge University Press, vol. 10(03), pages 390-390, November.
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    Cited by:

    1. Milovanović, E.I. & Milovanović, I.Ž. & Dolićanin, E.Ć. & Glogić, E., 2016. "A note on the first reformulated Zagreb index," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 16-20.

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