The relation between the Wiener indices of phenylenes and their hexagonal squeezes

摘要

If PH is a phenylene, HS its hexagonal squeeze and ID the inner dual of HS, then the following relation exists between the respective Wiener indices (W): W(PH)=9/4)[W(HS)+16 W(ID)-2H+1)(4H+1)], where h is the number of hexagons of PH and HS, i. e., the number of Vertices of ID. This equality is a new member of the series of recently discovered connections Between topological properties of PH and HS.