%0 Journal Article
%T Embeddings of Circular Graphs<br>关于循环图的曲面嵌入
%A Ren Han
%A Deng Mo
%A <br>任韩
%A 邓默
%J 数学物理学报(A辑)
%D 2007
%I 
%X In this paper the authors investigate the embeddings of the circular graphs. The authors determine the minimum orientable genus and the minimum nonorientable genus and show that all the circular graphs are up-embeddable. The authors show that for a fixed integer l(> 3) and large enough n, there is only one way to embed a 4-regular circular graph C(n,l) into the torus such that each face is a quadrilateral. In particular, the authors find that both the torus and the Klein bottle may be quadrangulated by the circular graph C(2l 2,l) which, by introducing some new edges, may also triangulate both of the two surfaces.
%K Circular graph: Embedding
%K Minimum (non-orientable) genus<br>循环图
%K 嵌入
%K 最小(不可定向)可定向亏格.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=DD60110F0B443490DD36D1573C5217A9&yid=A732AF04DDA03BB3&vid=DB817633AA4F79B9&iid=B31275AF3241DB2D&sid=D5BEB939E141E547&eid=B8D8B337883846D1&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=12