Lower and Upper Bounds for Hyper-Zagreb Index of Graphs

  • G. H. SHIRDEL Department of Mathematics, Faculty of Basic Sciences, University of Qom, Qom, Iran
  • H. REZAPOUR Department of Mathematics, Faculty of Basic Sciences, University of Qom, Qom, Iran
  • R. NASIRI Department of Mathematics, Faculty of Basic Sciences, University of Qom, Qom, Iran
Keywords: Hyper-Zagreb index, Vertex degree, First and second Zagreb indices

Abstract

The topological indices are functions on the graph that do not depend on the labeling of their vertices. They are used by chemists for studying the properties of chemical compounds.  Let  be a simple connected graph. The Hyper-Zagreb index of the graph ,  is defined as  ,where  and  are the degrees of vertex  and , respectively. In this paper, we study the Hyper-Zagreb index and give upper and lower bounds for .

Published
2020-06-27
How to Cite
SHIRDEL, G. H., REZAPOUR , H., & NASIRI, R. (2020). Lower and Upper Bounds for Hyper-Zagreb Index of Graphs. Iraqi Journal of Science, 61(6), 1401-1406. https://doi.org/10.24996/ijs.2020.61.6.18
Section
Mathematics