Enumeration of Unicursal Planar Near-Triangulation

摘要

A map is called Unicursal if it has exactly two vertices of odd valency. A near-triangulation is a map with all but one of its face triangles. We use the enufunction approach to enumerate rooted Unicursal planar neartriangulation with the valency of the root-face and the number of nonrooted faces as parameters.