8 citations · 28 across the 30 of their papers we have counts for
6 papers · 1 filter
Non-trivial -intersecting families for symplectic polar spaces
Tian Yao, Benjian Lv, Kaishun Wang
Let be a symplectic polar space over a finite field , and denote the set of all -dimensional subspaces in . We say a …
Extremal even-cycle-free subgraphs of the complete transposition graphs
Mengyu Cao, Benjian Lv, Kaishun Wang +1
Given graphs and , the generalized Turán number is the maximum number of edges in an -free subgraph of . In this paper, we obtain an asymptotic upper b…
The structure of large non-trivial t-intersecting families for finite sets
Mengyu Cao, Benjian Lv, Kaishun Wang
In this paper, we describe the structure of maximal non-trivial uniform -intersecting families with large size for finite sets. In the special case when , our result gives…
Non-trivial -intersecting families for vector spaces
Mengyu Cao, Benjian Lv, Kaishun Wang +1
Let be an -dimensional vector space over a finite field . In this paper we describe the structure of maximal non-trivial -intersecting families of -dimen…
Extremal -intersecting families for direct products
Tian Yao, Benjian Lv, Kaishun Wang
In this paper, by shifting technique we study -intersecting families for direct products where the ground set is divided into several parts. Assuming the size of each part is su…
Intersecting families of vector spaces with maximum covering number
Chao Gong, Benjian Lv, Kaishun Wang
Let be an -dimensional vector space over the finite field . Suppose that is an intersecting family of -dimensional subspaces of . The cover…