4 papers
On finiteness of spectral radius order
Yanlong Ding, Chuanyuan Ge, Shiping Liu
The concept of spectral radius order plays an crucial role in the breakthrough work on equiangular lines due to Jiang, Tidor, Yao, Zhang, and Zhao [Ann. of Math. (2) 194 (2021), no…
Equiangular lines via nodal domains
Chuanyuan Ge, Shiping Liu
For given and , we show that the maximum multiplicity that can appear as the second largest eigenvalue of a connected graph with maximum degree at most $Δ…
Computing the -Laplacian eigenpairs of signed graphs
Chuanyuan Ge, Ouyuan Qin
As a nonlinear extension of the graph Laplacian, the graph -Laplacian has various applications in many fields. Due to the nonlinearity, it is very difficult to compute the eigen…
Spectral bounds of multi-way Cheeger constants via cyclomatic number
Chuanyuan Ge
As a non-trivial extension of the celebrated Cheeger inequality, the higher-order Cheeger inequalities for graphs due to Lee, Oveis Gharan and Trevisan provide for each an uppe…