New Results on the Geometric-Arithmetic Index

Autor: Akbar Jahanbani, Maryam Atapour, Zhibin Du
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Mathematics, Vol 2021 (2021)
Druh dokumentu: article
ISSN: 2314-4629
2314-4785
07544928
DOI: 10.1155/2021/4901484
Popis: Let G be a graph with vertex set VG and edge set EG. Let du denote the degree of vertex u∈VG. The geometric-arithmetic index of G is defined as GAG=∑uv∈EG2dudv/du+dv. In this paper, we obtain some new lower and upper bounds for the geometric-arithmetic index and improve some known bounds. Moreover, we investigate the relationships between geometric-arithmetic index and several other topological indices.
Databáze: Directory of Open Access Journals