Affiliations: [a] Department of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates | [b] School of Natural Sciences(SNS), National University of Sciences and Technology (NUST), Islamabad, Pakistan
| [c] Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Pakistan
| [d] Department of Mathematics, The University of Lahore, Pakpattan Campus, Pakistan
| [e] Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan
| [f] Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan
Correspondence:
[*]
Corresponding author. Muhammad Kamran Siddiqui, Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Pakistan. E-mail: [email protected].
Abstract: Graph theory is a fundamental and energetic tool for designing and modeling a graph/network. There are certain topological indices based on degree, distance and eccentricity, etc. The topological indices essentially relate certain physio-concoction properties and bio-activity to the corresponding synthetic and atomic structure. In this paper, our aim is to figure out degree-based topological indices mainly atom-bond connectivity (ABC), geometric-arithmetic (GA), ABC4 and GA5 indices for cellular neural network (CNN) and give closed results of these indices for cellular neural network. Moreover, we also compute general Randi
c´
index Rα of CNN for
α={1,-1,12,-12}
only and give analytical closed form results. A 3D graph analysis for comparison of indices is also given.
Keywords: Molecular descriptor, cellular neural network, atom bond connectivity index, geometric arithmetic index, general Randić index
