From the 1 of 6 linked papers with an AI index.
6 papers
A Spectral Hilton--Milner--Frankl Theorem for -Intersecting Families
Xucheng Bu, Lihua Feng, Lihua Deng +2
Keevash, Lenz, and Mubayi proved a spectral Erdős--Ko--Rado theorem, showing that, for sufficiently large , the complete -star uniquely maximizes the adjacency-tensor spectra…
On a conjecture regarding the product version of the Hilton-Milner theorem
Xucheng Bu, Lihua Feng, Zejun Huang +2
The paper studies a conjecture on the product version of the Hilton‑Milner theorem for non‑trivial cross‑intersecting families, disproving it in a linear range of parameters and co…
Improved bound on symmetric differences of intersecting families
Lihua Feng, Zejun Huang, Qifan Wang +1
For a family , it is called intersecting if for all . We use $\mathcal{SD}(\mathcal{F}) = \{F \triangle G : F, G \in \math…
The Suda-Tanaka-Tokushige conjecture for -biased intersecting families
Yongjiang Wu, Lihua Feng
In 2017, Suda, Tanaka and Tokushige conjectured that if with , then every intersecting family satisfies…
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…
-intersecting or Configuration Forbidden Families on Set Systems and Vector Spaces over Finite Fields
Jiuqiang Liu, Guihai Yu, Lihua Feng +1
In this paper, we derive a tight upper bound for the size of an intersecting -Sperner family of subspaces of the -dimensional vector space over finite fi…