Indices of Line Graph of R(G)
Sebina Mathew C. *
Department of Mathematics, All Saints’ College,Thiruvananthapuram, Kerala, India and Department of Mathematics, NSS Hindu College, Changanaserry, Kerala, India.
Satheesh E. N.
Department of Mathematics, NSS Hindu College, Changanaserry, Kerala, India.
*Author to whom correspondence should be addressed.
Abstract
The field of graph theory facilitates in the study of chemical, physical, and biological characteristics of chemical substances. The properties and reactivity of chemical compounds can be predicted by examining the graph of chemical structure and its topological indices. Topological index of graph is a powerful tool for sidestepping costly and tedious experiments which should be done in Laboratory. More than 140 topological indices have been defined so far and more studies are still going on in this area. In this study, we compute a few topological indices of line graphs of triangular graphs of specific families of graphs.
Keywords: Line Graph, Triangular Graph, topological indices