A short note on Hyper Zagreb Index

Suresh Elumalai, Toufik Mansour, Mohammad Ali Rostami, G. B.A. Xavier

Research output: Contribution to journalArticlepeer-review


In this paper, we present and analyze the upper and lower bounds on the Hyper-Zagreb index χ2(G) of graph G in terms of the number of vertices (n), number of edges (m), maximum degree (∆), minimum degree (δ) and the inverse degree (ID(G)). In addition, a counter example on the upper bound of the second Zagreb index for Theorems 2.2 and 2.4 from_ [20] is provided. Finally, we present the lower and upper bounds on χ2(G) + χ2(G), where G denotes the complement of G.

Original languageEnglish
Pages (from-to)51-58
Number of pages8
JournalBoletim da Sociedade Paranaense de Matematica
Issue number2
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© Soc. Paran. de Mat.


  • First Zagreb index
  • Hyper Zagreb index
  • Second Zagreb index

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'A short note on Hyper Zagreb Index'. Together they form a unique fingerprint.

Cite this