On the F-index and F-coindex of the line graphs of the subdivision graphs
Ruhul Amin, Sk. Md. Abu Nayeem

TL;DR
This paper explores the F-index and F-coindex of line graphs derived from various subdivision graphs, including cycles, stars, and complex lattice structures, expanding understanding of these indices in graph theory.
Contribution
It introduces new calculations of F-index and F-coindex for line graphs of subdivision graphs across multiple graph families and complex lattice structures.
Findings
F-index and F-coindex values for line graphs of cycle, star, tadpole, wheel, and ladder graphs.
F-index of line graphs of subdivision graphs of grid, nanotube, and nanotorus structures.
Extended analysis of F-index for complex lattice graphs like TUC_{4}C_{8}[p, q].
Abstract
The aim of this work is to investigate the F-index and F-coindex of the line graphs of the cycle graphs, star graphs, tadpole graphs, wheel graphs and ladder graphs using the subdivision concepts. F-index of the line graph of subdivision graph of square grid graph, 2D-lattice, nanotube and nanotorus of are also investigated here.
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