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Proof of Frankl's conjecture on cross-intersecting families
Yongjiang Wu, Lihua Feng, Yongtao Li
Two families and are called cross-intersecting if for every and , the intersection is non-empty. For any…
A result for hemi-bundled cross-intersecting families
Yongjiang Wu, Lihua Feng, Yongtao Li
Two families and are called cross-intersecting if for every and , the intersection is non-empty. It is si…
Stabilities of the Kleitman diameter theorem
Yongjiang Wu, Yongtao Li, Lihua Feng +2
Let be a family of subsets of . The diameter of is the maximum size of symmetric differences among pairs of its members. Resolving a conjecture of…
Maximal intersecting families revisited
Yongjiang Wu, Yongtao Li, Lihua Feng +2
The well-known Erdős--Ko--Rado theorem states that for , every intersecting family of -sets of has at most sets, and the extre…
Snevily's Conjecture about -intersecting Families on Set Systems and its Analogue on Vector Spaces
Jiuqiang Liu, Guihai Yu, Lihua Feng +1
The classical Erdős-Ko-Rado theorem on the size of an intersecting family of -subsets of the set is one of the fundamental intersection theorems for s…