3 papers
math.CO2026
Equality Cases for the Face-Degree Majorization Theorem on Simplicial Complexes
Yueli Han, Lu Lu
The Grone--Merris--Bai theorem states that the Laplacian spectrum of a simple graph is majorized by its conjugate degree sequence. Recently, Zhang, Song, and Fan extended this resu…
math.CO2026
On the sum of the two largest eigenvalues of the curl-curl operator on graphs
Yueli Han, Lu Lu, Jianfeng Wang
The Grone--Merris conjecture, proved by Bai in~2011, states that the spectrum of the graph Laplacian is majorized by the conjugate of…
math.CO2025
Spectral bounds for vertex-weighted Laplacians of simplicial complexes
Yueli Han, Lu Lu
The vertex-weighted Laplacian naturally extends the combinatorial Laplacian for simplicial complexes. Inspired by Lew's foundational techniques for vertex-weighted Laplacians, we p…