The hyper Wiener index of one pentagonal carbon nanocone
  The aim of this paper is the computing one of topological indices of One-pentagonal carbon Nanocone. One-pentagonal carbon nanocone consists of one pentagone as its core surrounded by layers of hexagons .if there are n layers,then the graph of this molecules is denoted by G_n .In This paper our aim is to calculate the hyper-Wiener index of G_n explicitly . 
M. H. Khalifeh, M. R. Darafsheh, and Hassan Jolany
math.CO