On the F-index and F-coindex of the line graphs of the subdivision graphs

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Authors :

Ruhul Amin 1 and Sk. Md. Abu Nayeem 2

Author Address :

1,2 Department of Mathematics, Aliah University, Kolkata -700 156, India.

*Corresponding author.

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 $TUC_{4}C_{8}[p, q]$ are also investigated here.

Keywords :

Topological index, F-index, F-coindex, line graphs, subdivision graphs, cycle graph, star graph, square grid graph, tadpole graphs, wheel graphs, ladder graphs, 2D-lattice of $TUC_{4}C_{8}[p, q]$,

DOI :

10.26637/MJM0602/0010

Article Info :

Received : August 09, 2017; Accepted : March 06, 2018.

 

 

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