| 匀称无圈超图的计数 |
| |
| 引用本文： | 刘木伙,柳柏濂.匀称无圈超图的计数[J].系统科学与数学,2009,29(8):1028-1033. |
| |
| 作者姓名： | 刘木伙 柳柏濂 |
| |
| 作者单位： | 1. 华南农业大学应用数学系,广州,510642;华南师范大学数学科学学院,广州,510631
2. 华南师范大学数学科学学院,广州,510631 |
| |
| 基金项目： | 华南农业大学校长基金，国家自然科学基金，教育部博士点基金(20070574006)资助课题 |
| |
| 摘 要： | 研究了标号匀称无圈超图的计数, 得到了一般的$n$阶标号r-匀称(d)-森林和n阶标号r-匀称(d)-真森林的递推公式,并分别得到了包含和不包含独立点的$n$阶标号森林的计数显式.
|
| 关 键 词： | 匀称超图 超树 超森林. |
| 收稿时间： | 2008-6-5 |
| 修稿时间： | 2008-11-19 |
THE COUNTING OF UNIFORM ACYCLIC HYPERGRAPHS |
| |
| LIU Muhuo,LIU Bolian.THE COUNTING OF UNIFORM ACYCLIC HYPERGRAPHS[J].Journal of Systems Science and Mathematical Sciences,2009,29(8):1028-1033. |
| |
| Authors: | LIU Muhuo LIU Bolian |
| |
| Institution: | (1)Department of Mathematics, South China Agricultural University, Guangzhou 510642;School of Mathematics, South China Normal University, Guangzhou 510631; (2)School of Mathematics, South China Normal University, Guangzhou 510631. |
| |
| Abstract: | In this paper, the recursion formulas for r-uniform (d)-hyperforests andr-uniform $(d)$-real hyperforests with n labeled vertices are presented, and the explicit formulas are obtained for forests with n labeled vertices having isolated vertices or none. |
| |
| Keywords: | Uniform hypergraph hypertree hyperforests |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
|
