Eccentricity-Based Topological Invariants of Dominating David-Derived Networks

Author:

Imran Muhammad1ORCID,Zobair Mian Muhammad2ORCID,Shaker Hani3ORCID

Affiliation:

1. Department of Mathematical Sciences, United Arab Emirates University, Al Ain, UAE

2. Department of Mathematics and Statistics, Riphah International University Islamabad, Rawalpindi, Pakistan

3. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan

Abstract

A topological index is a numerical descriptor of the molecular structure based on certain topological features of the corresponding molecular graph. Topological indices are scientific contemplations of a graph that outline its subatomic topology and are graph-invariant. In a QSAR/QSPR study, topological indices are utilized to anticipate the physico-concoction resources and bioactivity of compounds. In this paper, we study some distance-based topological indices such as eccentric connectivity index (ECI), total eccentricity index (TEI), and eccentricity-based Zagreb index for dominating David-derived networks (DD network) and provide exact formulae of the said indices. These outcomes are valuable to organize the science of hidden topologies of this network.

Funder

United Arab Emirates University

Publisher

Hindawi Limited

Subject

General Chemistry

Reference18 articles.

1. A new version of Zagreb indices

2. Connective eccentricity index of certain path-thorn graphs;M. Javaid;Journal of Prime Research in Mathematics,2018

3. Computing topological indices of probabilistic neural network;M. Javaid;Neural Computing and Applications,2018

4. Embedding of Poly Honeycomb Networks and the Metric dimension of Star of David Network

5. On topological properties of dominating David derived networks

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