Some Distance Property of m-Barrel Fullerene

A connected planar cubic graph is called an m-barrel fullerene and denoted by F(m,k), if it has the following structure: The first circle is an m-gon. Then m-gon is bounded by m pentagons. After that we have additional k layers of hexagons. At the last circle, m-pentagons connected to the second m-gon. In this paper, we study some distance property of mbarell fullerene and we proved the formula for calculating the wiener polarity of m-barrel fullerene in general case.