In this paper, the chromatic sum functions of rooted biloopless nonsepavable near-triangulations on the sphere and the projective plane are studied. The chromatic sum function equations of such maps are obtained. From...In this paper, the chromatic sum functions of rooted biloopless nonsepavable near-triangulations on the sphere and the projective plane are studied. The chromatic sum function equations of such maps are obtained. From the chromatic sum equations of such maps, the enumerating function equations of such maps are derived. An asymptotic evaluation and some explicit expression of enumerating functions are also derived.展开更多
基金Supported by the National Natural Science Foundation of China (No. 10771225 10871021+1 种基金 71071016) Fundamental Research Funds for the Central Universities
文摘In this paper, the chromatic sum functions of rooted biloopless nonsepavable near-triangulations on the sphere and the projective plane are studied. The chromatic sum function equations of such maps are obtained. From the chromatic sum equations of such maps, the enumerating function equations of such maps are derived. An asymptotic evaluation and some explicit expression of enumerating functions are also derived.
