Enumeration formulas for (3, 6)-fullerenes

Linda Green, Yadunand Sreelesh, Saanvi Arora

A $(3,6)$-fullerene is a cubic planar graph whose faces all have 3 or 6 sides. We give an exact enumeration of $(3,6)$-fullerenes with $V$ vertices. We also enumerate $(3,6)$-fu…