More on r-cross t-intersecting families for vector spaces

被引:0
作者
Yao, Tian [1 ]
Liu, Dehai [2 ]
Wang, Kaishun [2 ]
机构
[1] Henan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
基金
北京市自然科学基金; 中国国家自然科学基金; 国家重点研发计划;
关键词
r-cross t-intersecting families; Vector spaces; Hilton-Milner theorem; SYSTEMS; THEOREMS;
D O I
10.1016/j.jcta.2025.106031
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let V be a finite dimensional vector space over a finite field. Suppose that F-1, F-2, ... ,F-r are r-cross t-intersecting families of k-subspaces of V. In this paper, we determine the extremal structure when Pi (R)(i=1) |F-i| is maximum under the condition that dim(boolean AND(F is an element of Fi) F) < t for each i. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数:18
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