On the Computation of Some Topological Descriptors to Find Closed Formulas for Certain Chemical Graphs
Muhammad Haroon Aftab, Muhammad Rafaqat, Muhammad Hussain, Tariq Javed Zia
Abstract
In this research paper, we will compute the topological indices (degree based) such as the ordinary generalized geometric-arithmetic (OGA) index, first and second Gourava indices, first and second hyper-Gourava indices, general Randic´ index <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:msub> <a:mrow> <a:mi>R</a:mi> </a:mrow> <a:mrow> <a:mi>γ</a:mi> </a:mrow> </a:msub> <a:mfenced open="(" close=")" separators="|"> <a:mrow> <a:mi>G</a:mi> </a:mrow> </a:mfenced> <a:mo>,</a:mo> <a:mtext>for </a:mtext> <a:mi>γ</a:mi> <a:mo>=</a:mo> <a:mfenced open="{" close="}" separators="|"> <a:mrow> <a:mo>±</a:mo> <a:mn>1</a:mn> <a:mo>,</a:mo> <a:mo>±</a:mo> <a:mfenced open="" close="" separators="|"> <a:mrow> <a:mn>1</a:mn> <a:mo>/</a:mo> <a:mn>2</a:mn> </a:mrow> </a:mfenced> </a:mrow> </a:mfenced> </a:math> , harmonic index, general version of the harmonic index, atom-bond connectivity (ABC) index, SK, SK1, and SK2 indices, sum-connectivity index, general sum-connectivity index, and first general Zagreb and forgotten topological indices for various types of chemical networks such as the subdivided polythiophene network, subdivided hexagonal network, subdivided backbone DNA network, and subdivided honeycomb network. The discussion on the aforementioned networks will give us very remarkable results by using the aforementioned topological indices.