Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems
Journal of Combinatorial Theory Series A - Series A
On generalizations of the deBruijn-Erdo¨s theorem
Journal of Combinatorial Theory Series A
On Mod-p Alon-Babai-Suzuki Inequality
Journal of Algebraic Combinatorics: An International Journal
Note: on k-wise set-intersections and k-wise Hamming-distances
Journal of Combinatorial Theory Series A
Set Systems with Restricted Cross-Intersections and the Minimum Rank of Inclusion Matrices
SIAM Journal on Discrete Mathematics
Set systems with L-intersections modulo a prime number
Journal of Combinatorial Theory Series A
On cross t-intersecting families of sets
Journal of Combinatorial Theory Series A
On r-cross intersecting families of sets
Combinatorics, Probability and Computing
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The classical Erdos-Ko-Rado theorem on the size of an intersecting family of t-subsets of the set {1,2,...,n} is one of the most basic intersection theorems for set systems. Since the Erdos-Ko-Rado theorem was published, there have been many intersection theorems on set systems appeared in the literature, such as the well-known Frankl-Wilson theorem, Alon-Babai-Suzuki theorem, Grolmusz-Sudakov theorem, and Qian-Ray-Chaudhuri theorem. In this paper, we will survey results on intersecting families and derive extensions for these well-known intersection theorems to k-wise L-intersecting and cross-intersecting families by employing the existing linear algebra methods.