Journal of Prime Research in Mathematics

# Zagreb connection indices of disjunction and symmetric difference operations on graphs

Usman Ali
Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan.
M. Javaid$$^1$$
Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan.
$$^{1}$$Corresponding Author: javaidmath@gmail.com

### Abstract

In this paper, we compute the general results in the form of the upper bounds of the Zagreb indices based on connection number called as first Zagreb connection index, second Zagreb connection index and modified first Zagreb connection index for the resultant graphs which are obtained by applying the product-related operations such as disjunction (co-normal product) and symmetric difference. At the end, some applications of the obtained results with a comparison between exact and computed values of the aforesaid Zagreb connection indices for the particular classes of alkanes are also included.

#### Keywords:

Zegreb indices, connection number, disjunction, symmetric difference.