On Expected Values of Some Chemical Indices in the Random Phenylene Chains

Abstract

Chemical graph theory is an interdisciplinary field where the molecular structure of a chemical compound is analyzed as a graph. In recent years, numerous chemical indices have been proposed. In this thesis, we determine some topological indices and the ex- pected values of these indices. We explore some indices known as the Zagreb indices (including redefined forms of the Zagreb indices), the forgotten topological index, the reduced reciprocal Randic index and the reduced second Zagreb index of some random Phenylene and the random Cyclooctane chains. Later this, we look at the Zagreb Con- nection indices of some metal trihalides. Moreover, we make a comparison among the expected values of these indices and give a graphical representation respecting these ran- dom chains and metal trihalides.