Chromatic sums of general maps on the sphere and the projective plane |
| |
Authors: | Zhaoxiang Li |
| |
Affiliation: | a Department of Mathematics, Central University for Nationalities, Beijing 100081, PR China b Department of Mathematics, Beijing Jiaotong University, Beijing 100044, PR China |
| |
Abstract: | In this paper, we study the chromatic sum functions of rooted general maps on the sphere and the projective plane. The chromatic sum function equations of such maps are obtained. From the chromatic sum equations of such maps, the enumerating function equations of rooted loopless maps, bipartite maps and Eulerian maps are also derived. Moreover, some explicit expressions of enumerating functions are also derived. |
| |
Keywords: | 05C10 05C30 05C45 |
本文献已被 ScienceDirect 等数据库收录! |
|