The semi-arc automorphism group of a graph with application to map enumeration
文献类型：期刊论文
| 作者 | Mao, LF; Liu, YP; Wei, EL |
| 刊名 | GRAPHS AND COMBINATORICS
 |
| 出版日期 | 2006-04-01 |
| 卷号 | 22期号:1页码:83-101 |
| 关键词 | embedding map semi-arc automorphism group burnside lemma |
| ISSN号 | 0911-0119 |
| DOI | 10.1007/s00373-006-0637-4 |
| 英文摘要 | A map is a connected topological graph cellularly embedded in a surface. For a given graph Gamma, its genus distribution of rooted maps and embeddings on orientable and non-orientable surfaces are separately investigated by many researchers. By introducing the concept of a semi-arc automorphism group of a graph and classifying all its embeddings under the action of its semi-arc automorphism group, we find the relations between its genus distribution of rooted maps and genus distribution of embeddings on orientable and non-orientable surfaces, and give some new formulas for the number of rooted maps on a given orientable surface with underlying graph a bouquet of cycles B-n, a closed-end ladder L-n or a Ringel ladder R-n. A general scheme for enumerating unrooted maps on surfaces(orientable or non-orientable) with a given underlying graph is established. Using this scheme, we obtained the closed formulas for the numbers of non-isomorphic maps on orientable or non-orientable surfaces with an underlying bouquet B-n in this paper. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000237191200006 |
| 出版者 | SPRINGER TOKYO |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2411]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Mao, LF |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst, Beijing 100080, Peoples R China 2.No Jiaotong UNiv, Inst Appl Math, Beijing 100044, Peoples R China 3.Renmin Univ China, Informat Sch, Beijing 100872, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mao, LF,Liu, YP,Wei, EL. The semi-arc automorphism group of a graph with application to map enumeration[J]. GRAPHS AND COMBINATORICS,2006,22(1):83-101. |
| APA | Mao, LF,Liu, YP,&Wei, EL.(2006).The semi-arc automorphism group of a graph with application to map enumeration.GRAPHS AND COMBINATORICS,22(1),83-101. |
| MLA | Mao, LF,et al."The semi-arc automorphism group of a graph with application to map enumeration".GRAPHS AND COMBINATORICS 22.1(2006):83-101. |
入库方式： OAI收割
来源：数学与系统科学研究院
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