Further Results for Some Eccentric Based Indices

Abstract

Background: Topological indices have a significant role in determining a molecule's topology in the light of theoretical chemistry.

Objectives: This study aimed to find new bounds for some eccentric-based topological indices.

Methods: We used comparison theorem for integrals.

Results: We found new bounds for the eccentric-based harmonic index and atom-bond connectivity index. Our results are better than previous results in the literature.

Conclusion: This study has contributed to the chemical graph theory literature by giving a new method to find eccentric-based topological indices with lower and upper bounds.

Keywords: Indices; eccentric based indices; eccentric-based harmonic index.; geometric arithmetic index; molecule’s topology; theorem for integrals; zagreb index.