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

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2025年 / 213卷

基金：

中国国家自然科学基金; 国家重点研发计划; 北京市自然科学基金;

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.

引用

页数：18

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