4 papers
math.CO2026
Some Turán-type results for the signless Laplacian spectral radius
Jian Zheng, Yongtao Li, Yi-Zheng Fan
Half a century ago, Bollobás and ErdÅs [Bull. London Math. Soc. 5 (1973)] proved that every -vertex graph with edges…
math.RT2026
On Multilinear Forms for Mod Representations of
Yikun Fan
Motivated by the study of trilinear forms for complex representations, we investigate the space of -invariant linear forms on tensor products of irreducible admissible represent…
math.CO2025
Spectral Turán problems for nondegenerate hypergraphs
Jian Zheng, Honghai Li, Yi-Zheng Fan
Keevash, Lenz and Mubayi developed a general criterion for hypergraph spectral extremal problems in their seminal work (SIAM J. Discrete Math., 2014). Their framework shows that ex…
math.CO2024
The multiplicity of eigenvalues of nonnegative tensors and hypergraphs
Yi-Zheng Fan
Hu and Ye conjectured that for an -dimensional tensor of order with an eigenvalue and the corresponding eigenvariety , the alge…