Chromatic Sums of Nonseparable Near-Triangulations on the Projective Plane

In this paper, we study the chromatic triangulations on the sphere and the projective plane. sum functions of rooted nonseparable near- The chromatic sum function equations of such maps are obtained. From the chromatic sum equations of such maps, the enumerating function equa- tions of such maps are derived. Applying chromatic sum theory, the enumerating problem of different sorts maps can be studied, and a new method of enumeration can be obtained. Moreover, an asymptotic evaluation and some explicit expression of enumerating functions are also derived.