Chromatic Sums of Nonseparable Near-Triangulations on the Projective Plane  

作　　者：Zhao Xiang LI Wei HE 

机构地区：[1]Department of Mathematics,Minzu University of China

出　　处：《Acta Mathematica Sinica,English Series》2012年第11期2185-2196,共12页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No. 10771225)

摘　　要：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.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.

关 键 词：TRIANGULATION chromatic sum function enumerating function asymptotic evaluation 

分 类 号：O157.5[理学—数学]