Affiliation:
1. Department of Mathematics, School of Science, University of Management and Technology, Lahore 54 770, Pakistan
2. Department of Mathematics Education, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi 00233, Ghana
Abstract
In theoretical chemistry, topological indices (TIs) have important role to predict various physical and structural properties of the study under molecular graphs. Among all topological indices, Zagreb-type indices have been used more effectively in the chemical literature. In this paper, we have computed first Zagreb, second Zagreb, forgotten, and hyper Zagreb indices of the generalized
-sum graph
in the form of different TIs of its basic graphs, where
is a positive integer. This family of graphs is obtained by the lexicographic product of the graph
and
, where
is constructed with the help of the generalized line superposition operation
on
. As a conclusion, we also checked the correlation between predefined graph
under the operation of lexicographic product
and
with newly defined generalized
-sum graphs
using linear regression models of various degree-based TIs.
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