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math.SP2026
Signed dual graphs and face spectral gaps of Cayley 2-complexes
Bobo Hua, Yong Lin, Tao Wang +1
We construct a weighted signed dual multigraph for the Cayley -complex of a finite presentation and represent its face Laplacian as a signed graph Laplacian with a diag…
math.SP2025
On a magneto-spectral invariant on finite graphs
Chunyang Hu, Bobo Hua, Supanat Kamtue +3
In this paper, we introduce a magneto-spectral invariant for finite graphs. This invariant vanishes on trees and is maximized by complete graphs. We compute this invariant for cycl…
math.SP2024
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs
Bobo Hua, Ruowei Li
We introduce the discrete poly-Laplace operator on a subgraph with Dirichlet boundary condition. We obtain upper and lower bounds for the sum of the first Dirichlet eigenvalues…