Computing F-index, coindex and Zagreb polynomials of the kth generalized transformation graphs

Abstract

In chemical graph theory, forgotten topological index or F-index plays a crucial role to collect information about the properties of chemical compounds. The kth generalized transformation graphs of a molecular graph preserve the entire information on the molecular topology contained in the relevant molecular graph. In this paper, some exact expressions of the F-index and its co-index for the kth generalized transformation graphs are obtained. Also, the Zagreb polynomials, Zagreb co-polynomials and their complements are computed.

Keywords

• Mathematics
• Molecular graph
• Zagreb indices
• Transformation graphs
• kth generalized transformation graph
• Zagreb polynomial and co-polynomial