New Results on the Geometric-Arithmetic Index
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,...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/4901484 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561335253073920 |
|---|---|
| author | Akbar Jahanbani Maryam Atapour Zhibin Du |
| author_facet | Akbar Jahanbani Maryam Atapour Zhibin Du |
| author_sort | Akbar Jahanbani |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0a4074a3e07544928de41cb4b2331f79 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0a4074a3e07544928de41cb4b2331f792025-02-03T01:25:15ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/49014844901484New Results on the Geometric-Arithmetic IndexAkbar Jahanbani0Maryam Atapour1Zhibin Du2Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, IranDepartment of Mathematics and Computer Science, Basic Science Faculty, University of Bonab, P.O. Box 55513-95133, Bonab, IranSchool of Software, South China Normal University, Foshan, Guangdong 528225, ChinaLet 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.http://dx.doi.org/10.1155/2021/4901484 |
| spellingShingle | Akbar Jahanbani Maryam Atapour Zhibin Du New Results on the Geometric-Arithmetic Index Journal of Mathematics |
| title | New Results on the Geometric-Arithmetic Index |
| title_full | New Results on the Geometric-Arithmetic Index |
| title_fullStr | New Results on the Geometric-Arithmetic Index |
| title_full_unstemmed | New Results on the Geometric-Arithmetic Index |
| title_short | New Results on the Geometric-Arithmetic Index |
| title_sort | new results on the geometric arithmetic index |
| url | http://dx.doi.org/10.1155/2021/4901484 |
| work_keys_str_mv | AT akbarjahanbani newresultsonthegeometricarithmeticindex AT maryamatapour newresultsonthegeometricarithmeticindex AT zhibindu newresultsonthegeometricarithmeticindex |