{"title":"Extremal problems for intersecting families of subspaces with a measure","authors":"Hajime Tanaka , Norihide Tokushige","doi":"10.1016/j.ejc.2025.104156","DOIUrl":null,"url":null,"abstract":"<div><div>We introduce a measure for subspaces of a vector space over a <span><math><mi>q</mi></math></span>-element field, and propose some extremal problems for intersecting families. These are <span><math><mi>q</mi></math></span>-analogue of Erdős–Ko–Rado type problems, and we answer some of the basic questions.</div></div>","PeriodicalId":50490,"journal":{"name":"European Journal of Combinatorics","volume":"127 ","pages":"Article 104156"},"PeriodicalIF":1.0000,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Combinatorics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0195669825000381","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce a measure for subspaces of a vector space over a -element field, and propose some extremal problems for intersecting families. These are -analogue of Erdős–Ko–Rado type problems, and we answer some of the basic questions.
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.