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 On judicious partitions of hypergraphs with edges of size at most 3 Zhang, Yao; Tang, Yu Cong; Yan, Gui Ying 2015-10-01 Source Publication EUROPEAN JOURNAL OF COMBINATORICS ISSN 0195-6698 Volume 49Pages:232-239 Abstract 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 Language 英语 WOS Research Area Mathematics WOS Subject Mathematics WOS ID WOS:000356199600018 Publisher ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD Citation statistics Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS] Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/19961 Collection 应用数学研究所 Affiliation Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China Recommended CitationGB/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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