Topological indices of the subdivision graph and the line graph of subdivision graph of the wheel graph

Abstract

Topological index is a useful number associated with molecular graph and the number correlate certain physico-chemical properties of chemical compounds. The concept of line graph and subdivision graph for a graph G has found various applications in chemical research. In this paper, we compute the first, second, and third Zagreb coindices, the F-coindex, the first and second multiplicative Zagreb coindices and the hyper Zagreb coindex of the subdivision graph and the line graph of subdivision graph of the wheel graph.

Subject Classification:

• 05C07
• 05C76

Keywords:

• Topological index
• Co-index
• Line graph
• Subdivision graph
• Wheel graph