The comparative analysis of two molecular indices in random polyphenyl and spiro chains

被引:1
作者
Raza, Zahid [1 ]
Guirao, Juan L. G. [2 ,3 ]
Bassioni, Ghada [4 ]
机构
[1] Univ Sharjah, Coll Sci, Dept Math, Sharjah, U Arab Emirates
[2] Univ Politecn Cartagena, Dept Matemat Aplicada & Estat, Hosp Marina, Murcia 30203, Spain
[3] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[4] Fac Engn Ain Shams Univ, Dept Chem, Cairo, Egypt
关键词
atomic bond connectivity index; geometric arithmetic index; expected values; random polyphenyl chain; spiro chains; comparisons; MERRIFIELD-SIMMONS INDEX; ATOM-BOND CONNECTIVITY; GEOMETRIC-ARITHMETIC INDEX; KIRCHHOFF INDEXES; TOPOLOGICAL INDEX; EXPECTED VALUES; HOSOYA INDEX; WIENER INDEX; MATCHINGS; GRAPHS;
D O I
10.3934/mbe.2022583
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Zagreb indices are well-known and historical indices that are very useful to calculate the properties of compounds. In the last few years, various kinds of Zagreb and Randic indices are investigated and defined to fulfil the demands of various engineering applications. Phenylenes are a class of conjugated hydrocarbons composed of a special arrangement of six-and four-membered rings. This special chain, produced by zeroth-order Markov process has been commonly appeared in the field of pharmacology and materials. Here, we compute the expected values of a multiplicative versions of the geometric arithmetic and atomic bond connectivity indices for these special hydrocarbons. Moreover, we make comparisons in the form of explicit formulae and numerical tables between the expected values of these indices in the random polyphenyl P-n and spiro S-n chains.
引用
收藏
页码:12500 / 12517
页数:18
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