Chromatic Sums of Biloopless Nonseparable Near-Triangulations on the Projective Plane  

作　　者：Zhao-xiang Li Yan-pei Liu Bing-feng Si 

机构地区：[1]Department of Mathematics, Minzu University of China [2]Department of Mathematics, Beijing Jiaotong University [3]School of Traffic and Transportation, Beijing Jiaotong University

出　　处：《Acta Mathematicae Applicatae Sinica》2013年第1期123-134,共12页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10771225; 10871021; 71071016) ;Fundamental Research Funds for the Central Universities

摘　　要：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.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.

关 键 词：chromatic sum function biloopless TRIANGULATION enumerating function 

分 类 号：O185[理学—数学] TP391.41[理学—基础数学]