射影平面和环面上奇异地图的色和(英文)  

Chromatic Sums of Singular Maps on the Projective Plane and the Torus

作　　者：李赵祥[1] 刘彦佩[2] 何卫力[2] 

机构地区：[1]中央民族大学数学系,北京100081 [2]北京交通大学数学系,北京100044

出　　处：《运筹学学报》2006年第3期10-16,共7页Operations Research Transactions

基　　金：Supported by the project about the teenth"five years plan"of the"211 project"Foundation of Central University for Nationalities.Supported by NNSFC under Grant No.10271048 and 10271017.

摘　　要：一个地图的每条边,若在同一面的边界上,则称它为奇异地图．由于含环的地图是不可着色的,本文所有地图均不含环．本文研究射影平面和环面上带根奇异地图的色和．A map is singular if each edge is on the same face on a surface（i.e., those have only one face on a surface）. Because any map with loop is not colorable, all maps here are assumed to be loopless. In this paper we present the chromatic enumeration for rooted singular maps on the projective plane and the torus.

关 键 词：运筹学 奇异地图 曲面 色和 

分 类 号：O185[理学—数学]