New composition of graphs and their Wiener Indices

Abstract

In this paper, we define new graph operations F-composition F (G)[H], where F (G) be one of the symbols S(G),M(G),Q(G),T(G),Λ(G),Λ[G],D2(G),D2[G]. Further, we give some results for the Wiener indices of the these graph operations.

Keywords

• wiener index
• composition of two graphs
• total graph
• splitting graph
• shadowgraph
• 05c12
• 05c76