Title | On the maximum size of 3-uniform U(s, q) families |
Alternative Title | 关于 3 元一致 U(s, q) 集族的最大基数
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Author | |
Corresponding Author | Xiang,Qing |
Publication Years | 2023
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DOI | |
Source Title | |
ISSN | 1674-7216
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EISSN | 2095-9427
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Volume | 53Issue:2Pages:369-380 |
Abstract | Let n, k, s, q be integers, n > q > k, sk > q and s > 2. A family F ⊂ is U(s, q) if |F1∪···∪Fs| 6 q for any F1, . . ., Fs ∈ F. This notion was introduced recently by Frankl and Kupavskii (2021) and it generalizes the property of a family being t-intersecting, or having no more than s pairwise disjoint members. Frankl and Kupavskii (2021) formulated a problem of finding the maximum size of U(s, q) families. In this paper, we study the k = 3 case extensively, and determine the maximum size of U(s, 2s+t) families for all s > s0(t) and all meaningful n and q. In particular, we prove a conjecture proposed by Frankl and Kupavskii (2021) on the maximum size of 3-uniform U(s, q) families. |
Keywords | |
URL | [Source Record] |
Indexed By | |
Language | Chinese
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SUSTech Authorship | First
; Corresponding
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Citation statistics |
Cited Times [WOS]:0
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Document Type | Journal Article |
Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/527597 |
Department | Department of Mathematics |
Affiliation | 1.南方科技大学数学系, 深圳 518055 2.南科大杰曼诺夫数学中心, 深圳 518055 3.浙江大学数学科学学院, 杭州 310027 |
First Author Affilication | Department of Mathematics |
Corresponding Author Affilication | Department of Mathematics |
First Author's First Affilication | Department of Mathematics |
Recommended Citation GB/T 7714 |
Xiang,Qing,Zou,Hanlin. On the maximum size of 3-uniform U(s, q) families[J]. Scientia Sinica Mathematica,2023,53(2):369-380.
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APA |
Xiang,Qing,&Zou,Hanlin.(2023).On the maximum size of 3-uniform U(s, q) families.Scientia Sinica Mathematica,53(2),369-380.
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MLA |
Xiang,Qing,et al."On the maximum size of 3-uniform U(s, q) families".Scientia Sinica Mathematica 53.2(2023):369-380.
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关于3元一致.pdf(288KB) | Restricted Access | -- |
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