Structural Characterization of Inverse Graphs of Finite Cyclic Groups via Degree–Based Topological Indices

Mageshwaran K; S. GOPINATH; Kalaimurugan G; Sankar S

doi:10.26713/cma.v17i3.3584

Authors

Mageshwaran K Rajalakshmi Engineering College https://orcid.org/0000-0001-9401-6174
S. GOPINATH Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology https://orcid.org/0000-0002-4063-8477
Kalaimurugan G Thiruvalluvar University https://orcid.org/0000-0002-6736-2335
Sankar S Valeo India Private Limited https://orcid.org/0009-0006-9876-4958

DOI:

https://doi.org/10.26713/cma.v17i3.3584

Keywords:

Zagreb index, Atom-bond connectivity (ABC) index, Geometric-arithmetic (GA) index, Inverse graph

Abstract

Degree-based topological indices, distance-based topological indices and counting-based
topological indices are some types of topological indices. Some popular degree-based topological indices are Zagreb, atom-bond connectivity (ABC) and geometric arithmetic (GA) index. Topological indices are numerical values that are used to work with a graph that can be used to predict certain graph characteristics via groups. The structure and behaviour of molecules and crystals are influenced by their varied symmetries, group theory is a useful tool in a variety of chemistry fields. It is a very effective theoretical tool for predicting many fundamental and some unique features of molecules. We establish some degree-based topological parameters of inverse graphs associated with finite cyclic groups in this article.

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