The Clar Number of Fullerene C24n and Carbon Nanocone CNC4[n]

Document Type : Research Paper


Shahid Rajaee Teacher Training University, I. R. Iran


A fullerene graph is a 3−connected planar graph whose faces are pentagons and hexagons. The Clar number of a fullerene is the maximum size of sextet patterns, the sets of disjoint hexagons which are all M-alternating for a Kekulé structure M of F. An exact formula of Clar number of some fullerene graphs and a class of carbon nanocones are obtained in this paper.