English

The Hyper-Zagreb Index of Trees and Unicyclic Graphs

Combinatorics 2018-09-12 v2

Abstract

Applications in chemistry motivated mathematicians to define different topological indices for different types of graphs. The Hyper-Zagreb index (HM) is an important tool as it integrates the first and the second Zagreb indices. In this paper, we characterize the trees and unicyclic graphs with the first four and first eight greatest HM-value, respectively.

Keywords

Cite

@article{arxiv.1808.10441,
  title  = {The Hyper-Zagreb Index of Trees and Unicyclic Graphs},
  author = {Hassan Rezapour and Ramin Nasiri and Seyedahmad Mousavi},
  journal= {arXiv preprint arXiv:1808.10441},
  year   = {2018}
}