The study of line graphs of subdivision graphs of some rooted product graphs via K-Banhatti indices

Abstract

The degree-based topological indices are numerical graph invariants that are used to link a molecule’s structural characteristics to its physical, and chemical characteristics. In the investigation, and study of the structural features of a chemical network, it has emerged as one of the most potent mathematical techniques. In this paper, we study the degree-based topological invariants, called K-Banhatti indices, of the line graphs of some rooted product graphs namely, [Formula: see text], [Formula: see text], and ith vertex rooted product graph [Formula: see text] which are derived by the concept of subdivision.

Keywords

• K-Banhatti index
• line graph
• subdivision graph