The Terminal Hosoya Polynomial of Some Families of Composite Graphs

Abstract EN

Let G be a connected graph and let Ω(G) be the set of pendent vertices of G.

The terminal Hosoya polynomial of G is defined as TH(G,t)∶=∑x,y∈Ω(G):x≠ytdG(x,y), where dG(x,y) denotes the distance between the pendent vertices x and y.

In this note paper we obtain closed formulae for the terminal Hosoya polynomial of rooted product graphs and corona product graphs.