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math.CO2024
-almost -intersecting families for finite sets
Dehai Liu, Kaishun Wang, Tian Yao
A family of -subsets of an -set is called -almost -intersecting if each member is -disjoint with at most members. In this paper, we prove that, if…
math.CO2024
-almost -intersecting families for vector spaces
Lijun Ji, Dehai Liu, Kaishun Wang +2
Let be a finite dimensional vector space over a finite field, and a family consisting of -subspaces of . The family is called -intersecting…
math.CO2024
The maximum sum of sizes of non-empty cross -intersecting families
Shuang Li, Dehai Liu, Deping Song +1
Let , and be a set of positive integers. Denote the family of all subsets of with sizes in by . The non-…