A map is singular if each edge is on the same face on a surface (i.e., it has only one face on a surface). In this paper we present the chromatic enumeration for rooted singular maps on the Klein bottle.
文摘A map is singular if each edge is on the same face on a surface (i.e., it has only one face on a surface). In this paper we present the chromatic enumeration for rooted singular maps on the Klein bottle.
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.