Expected Values of Some Molecular Descriptors in Random Cyclooctane Chains

被引:10
|
作者
Raza, Zahid [1 ]
Imran, Muhammad [2 ]
机构
[1] Univ Sharjah, Dept Math, Coll Sci, Sharjah 27272, U Arab Emirates
[2] United Arab Emirates Univ, Dept Math Sci, Al Ain 15551, U Arab Emirates
来源
SYMMETRY-BASEL | 2021年 / 13卷 / 11期
关键词
modified Zagreb index; symmetric difference index; inverse symmetric index; augmented Zagreb index; random cyclooctane chain; cycloalkane; expected values; comparisons; graphical representation; DEGREE BID INDEXES;
D O I
10.3390/sym13112197
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The modified second Zagreb index, symmetric difference index, inverse symmetric index, and augmented Zagreb index are among the molecular descriptors which have good correlations with some physicochemical properties (such as formation heat, total surface area, etc.) of chemical compounds. By a random cyclooctane chain, we mean a molecular graph of a saturated hydrocarbon containing at least two rings such that all rings are cyclooctane, every ring is joint with at most two other rings through a single bond, and exactly two rings are joint with one other ring. In this article, our main purpose is to determine the expected values of the aforementioned molecular descriptors of random cyclooctane chains explicitly. We also make comparisons in the form of explicit formulae and numerical tables consisting of the expected values of the considered descriptors of random cyclooctane chains. Moreover, we outline the graphical profiles of these comparisons among the mentioned descriptors.
引用
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页数:13
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