The geometric arithmetic (GA) index of certain trees and bicyclic graphs

Mohammed, Mohanad Ali; Mushatet, Hasan H

doi:10.22034/ecc.2021.295046.1204

Document Type : Original Research Article

Authors

¹ Department of Mathematics College of Computer Sciences and Mathematics, University of Kufa, Najaf, Iraq

² Ministry of Education, Dhi Qar Education Directorate. Dhi Qar Centre, Iraq

https://doi.org/10.22034/ecc.2021.295046.1204

Abstract

The geometric arithmetic index is one of the recently most investigated degree-based molecular structure descriptors that have applications in chemistry. For a graph , the index is defined as , where denotes the degree of a vertex in . In this paper, we obtain the general formulas of geometric arithmetic index for two types of trees graphs. Also, we provide the general formulas to the bicyclic graphs after attaching branches of for all vertices. Finally, we computed the geometric arithmetic index to the molecular graph representing the molecular structure of the bicyclic chemical graphs.

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Eurasian Chemical Communications

The geometric arithmetic (GA) index of certain trees and bicyclic graphs

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Volume 3, Issue 9
September 2021
Pages 635-643

The geometric arithmetic (GA) index of certain trees and bicyclic graphs

Full Text

Full Text

References

References

Volume 3, Issue 9September 2021Pages 635-643

Volume 3, Issue 9
September 2021
Pages 635-643