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Augmented Zagreb index of trees and unicyclic graphs with perfect matchings

Author

Listed:
  • Sun, Xiaoling
  • Gao, Yubin
  • Du, Jianwei
  • Xu, Lan

Abstract

The augmented Zagreb index of a graph G, which is proven to be a valuable predictive index in the study of the heat of formation of octanes and heptanes, is defined as AZI(G)=∑uv∈E(G)(d(u)d(v)d(u)+d(v)−2)3, where E(G) is the edge set of G, d(u) and d(v) are the degrees of the terminal vertices u and v of edge uv. In this paper, the lower bounds on augmented Zagreb index of trees and unicyclic graphs with perfect matchings are presented, and the corresponding extremal trees and uinicyclic graphs with perfect matchings are characterized.

Suggested Citation

  • Sun, Xiaoling & Gao, Yubin & Du, Jianwei & Xu, Lan, 2018. "Augmented Zagreb index of trees and unicyclic graphs with perfect matchings," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 75-81.
    • Handle: RePEc:eee:apmaco:v:335:y:2018:i:c:p:75-81
    DOI: 10.1016/j.amc.2018.04.039
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    References listed on IDEAS

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    1. Palacios, José Luis, 2017. "Bounds for the augmented Zagreb and the atom-bond connectivity indices," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 141-145.
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    Cited by:

    1. Jiang, Yisheng & Lu, Mei, 2021. "Maximal augmented Zagreb index of trees with given diameter," Applied Mathematics and Computation, Elsevier, vol. 395(C).

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