Judicious partitions of weighted hypergraphs
文献类型：期刊论文
| 作者 | Xu Xin; Yan GuiYing ; Zhang Yao
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2016-03-01 |
| 卷号 | 59期号:3页码:609-616 |
| 关键词 | judicious partition balanced bipartition weighted hypergraph |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-015-5039-8 |
| 英文摘要 | Let G be a weighted hypergraph with edges of size i for i = 1, 2. Let wi denote the total weight of edges of size i and a be the maximum weight of an edge of size 1. We study the following partitioning problem of Bollobas and Scott: Does there exist a bipartition such that each class meets edges of total weight at least \ ? We provide an optimal bound for balanced bipartition of weighted hypergraphs, partially establishing this conjecture. For dense graphs, we also give a result for partitions into more than two classes. In particular, it is shown that any graph G with m edges has a partition V-1,...,V (k) such that each vertex set meets at least edges, which answers a related question of Bollobas and Scott. |
| 资助项目 | National Natural Science Foundation of China[11371355] ; National Natural Science Foundation of China[11471193] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000369948900014 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22020]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Yan GuiYing |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu Xin,Yan GuiYing,Zhang Yao. Judicious partitions of weighted hypergraphs[J]. SCIENCE CHINA-MATHEMATICS,2016,59(3):609-616. |
| APA | Xu Xin,Yan GuiYing,&Zhang Yao.(2016).Judicious partitions of weighted hypergraphs.SCIENCE CHINA-MATHEMATICS,59(3),609-616. |
| MLA | Xu Xin,et al."Judicious partitions of weighted hypergraphs".SCIENCE CHINA-MATHEMATICS 59.3(2016):609-616. |
入库方式： OAI收割
来源：数学与系统科学研究院
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