s-almost t-intersecting families for vector spaces

2024/06/09 by Ji, Lijun, Liu, Dehai, Wang, Kaishun +2
#05A30 #05D05 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.05840

Abstract

Let V be a finite dimensional vector space over a finite field, and F a family consisting of k-subspaces of V. The family F is called t-intersecting if dim(F₁∩ F₂)≥ t for any F₁, F₂∈ F. We say F is s-almost t-intersecting if for each F∈ F there are at most s members F^′ of F such that dim(F∩ F^′)

Related

• s-almost t-intersecting families for vector spaces
• s-almost t-intersecting families for finite sets
• Non-trivial t-intersecting families for vector spaces
• r-cross t-intersecting families for vector spaces
• Simplices in t-intersecting families for vector spaces