3 papers
math.CO2026
A Spectral Hilton--Milner--Frankl Theorem for -Intersecting Families
Xucheng Bu, Lihua Feng, Lu Lu +1
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…
math.CO2026
An improved range for the maximum critically -intersecting hypergraphs
Lu Lu, Rongrong Lu, Qifan Wang +1
Let be integers and set . A -uniform hypergraph is called -intersecting if any two edges intersect in at least vertices, and is called -…
math.CO2025
The number of rooted spanning forests of bicirculant graphs
Jing Yang, Lihua Feng, Rongrong Lu +1
A bi-Cayley graph over the cyclic group is called a bicirculant graph. Let be a bicirculant graph with $R=-R\subseteq \mathbb{Z}_n\s…