Analysis of Hanoi graph by using topological indices

Author:

Asmat Farwa1ORCID,Asmat Humaira2,Ijaz Khan Muhammad23,Song Yingqi4

Affiliation:

1. School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China

2. Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan

3. Department of Mechanical Engineering, Lebanese American University, Beirut, Lebanon

4. School of Mathematical Sciences, University of Science and Technology of China, Hefei, P. R. China

Abstract

One of the main challenges in molecular science is to model a chemical complex and predict its thermochemical properties. Various researchers have developed a number of hypothetical techniques in this regard, and one of them is focused on the topological indices. A topological index is a number associated with a molecule’s structural graph that is considered to be capable of predicting certain chemical and physical properties of molecules. Degree-based topological indices are one of the groups of topological indices that are crucial in chemical graph theory. Shannon’s entropy is a fundamental factor of a subclass of topological indices that measures the structural information of the graphs. In this study, we examine the entropy based on topological indices such as the first and second Zagreb indices, the general Randić index, the harmonic and sum-connectivity index of Hanoi graph. Moreover, we determine a number of multiplicative invariants, and different polynomials for Hanoi graphs with graphical illustrations.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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