Extremal problems for intersecting families of subspaces with a measure

IF 1 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2025-03-28 DOI:10.1016/j.ejc.2025.104156

Hajime Tanaka , Norihide Tokushige

引用次数: 0

Abstract

We introduce a measure for subspaces of a vector space over a

q

-element field, and propose some extremal problems for intersecting families. These are

q

-analogue of Erdős–Ko–Rado type problems, and we answer some of the basic questions.

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具有测度的子空间相交族的极值问题

我们引入了q元域上向量空间的子空间的测度，并给出了相交族的一些极值问题。这些是Erdős-Ko-Rado类型的q-模拟问题，我们回答了一些基本问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

European Journal of Combinatorics 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.