Description
Title: Hosoya Polynomials of Certain Finite Groups’ Power Graphs
Abstract: Consider G to be a finite group. When two different elements are connected by an edge because one of them is a power of the other, that graph is known as the power graph P(G) of G. A topological index is a number derived from a proposed molecule’s structure that identifies key structural characteristics. The correlation between chemical structures and various physical traits, chemical reactivity, and biological activity is, in fact, based on a numerical quantity related to the chemical composition. The identification of well-known chemical descriptors based on distance dependence requires this information. In this paper, we investigate the Hosoya properties of power graphs of different finite cyclic and non-cyclic groups of order pq and pqr, where p, q, and r(p q r) are prime numbers, including the Hosoya polynomial and the reciprocal status Hosoya polynomial.
Keywords: finite groups; molecular structure; power graphs; Hosoya polynomial
Paper Quality: SCOPUS / Web of Science Level Research Paper
Subject: Chemistry
Writer Experience: 20+ Years
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