KMS Of Academy of mathematics and systems sciences, CAS
Judicious partitions of weighted hypergraphs | |
Xu Xin; Yan GuiYing; Zhang Yao | |
2016-03-01 | |
Source Publication | SCIENCE CHINA-MATHEMATICS |
ISSN | 1674-7283 |
Volume | 59Issue:3Pages:609-616 |
Abstract | 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. |
Keyword | judicious partition balanced bipartition weighted hypergraph |
DOI | 10.1007/s11425-015-5039-8 |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[11371355] ; National Natural Science Foundation of China[11471193] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000369948900014 |
Publisher | SCIENCE PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22021 |
Collection | 应用数学研究所 |
Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
Recommended Citation 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. |
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