KMS Of Academy of mathematics and systems sciences, CAS
On judicious partitions of hypergraphs with edges of size at most 3 | |
Zhang, Yao; Tang, Yu Cong; Yan, Gui Ying | |
2015-10-01 | |
发表期刊 | EUROPEAN JOURNAL OF COMBINATORICS |
ISSN | 0195-6698 |
卷号 | 49页码:232-239 |
摘要 | Bollobas and Scott (2002) conjectured that a hypergraph with m(i) edges of size i for i = 1, . . . , k has a bipartition in which each vertex class meets at least m(1)/2+3m(2)/4+ . . . +(1-1/2(k))m(k)+o(m) edges where m = Sigma(k)(i=1) m(i). For the case k = 2, this conjecture has been proved by Ma et al. (2010). In this paper, we consider this conjecture for the case k = 3. In fact, we prove that a hypergraph with mi edges of size i for i = 1, 2, 3 has a bipartition in which each vertex class meets at least m(1)/2 + 3m(2)/4+ 23m(3)/27 + o(m) edges where m = m(1) + m(2) + m(3). (C) 2015 Elsevier Ltd. All rights reserved. |
DOI | 10.1016/j.ejc.2015.03.015 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000356199600018 |
出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/19961 |
专题 | 应用数学研究所 |
通讯作者 | Zhang, Yao |
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 | Zhang, Yao,Tang, Yu Cong,Yan, Gui Ying. On judicious partitions of hypergraphs with edges of size at most 3[J]. EUROPEAN JOURNAL OF COMBINATORICS,2015,49:232-239. |
APA | Zhang, Yao,Tang, Yu Cong,&Yan, Gui Ying.(2015).On judicious partitions of hypergraphs with edges of size at most 3.EUROPEAN JOURNAL OF COMBINATORICS,49,232-239. |
MLA | Zhang, Yao,et al."On judicious partitions of hypergraphs with edges of size at most 3".EUROPEAN JOURNAL OF COMBINATORICS 49(2015):232-239. |
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