supported by National Natural Science Foundation of China (Grant No. 11701407)
Two families F and G of k-subsets of {1, 2,..., n} are called non-trivial cross t-intersecting if|F ∩ G|≥t for all F ∈ F, G ∈ G and | ∩ {F : F ∈ F}| < t, | ∩ {G : G ∈ G}| < t. In the present paper,we determine...
In this paper, we provide a common generalization to the well-known Erdos-Ko-Rado Theorem, Frankl-Wilson Theorem, Alon-Babai-Suzuki Theorem, and Snevily Theorem on set systems with L-intersections. As a consequence, w...
The purpose of this paper is, first of all, to show what V. E. Frankl calls meanings rooted in three values: creativevalues, experiential values, and attitudinal values. Creative values are what one finds by creating...
Supported by Chinese Universities Scientic Fund(No.N140504004);the National Natural Science Foundation of China(No.11271116)
Frankl and Füredi in [1] conjectured that the r-graph with m edges formed by taking the first m sets in the colex ordering of N^(r) has the largest Lagrangian of all r-graphs with m edges.Denote this r-graph by Cr,...