The Hyper-Zagreb Index of Trees and Unicyclic Graphs

Authors

  • Hassan Rezapour Department of Mathematics, Faculty of Basic Sciences, University of Qom, Qom, Iran
  • Ramin Nasiri Department of Mathematics, Faculty of Sciences, Imam Hossein Comprehensive University, Tehran, Iran
  • Seyedahmad Mousavi Department of Mathematics and Statistics, University of Maryland, Baltimore County, Baltimore, MD 21250, U.S.A.
Abstract:

Topological indices are widely used as mathematical tools to analyze different types of graphs emerged in a broad range of applications. The Hyper-Zagreb index (HM) is an important tool because it integrates the first two Zagreb indices. In this paper, we characterize the trees and unicyclic graphs with the first four and first eight greatest HM-value, respectively.

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Journal title

volume 18  issue 1

pages  41- 54

publication date 2023-04

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