4 papers
Discrete Bakry-Ãmery curvature tensors and matrices of connection graphs
Chunyang Hu, Shiping Liu
Liu, Münch, and Peyerimhoff introduced the notion of Bakry-Ãmery curvature for connection graphs as a means to derive Buser-type bounds on the eigenvalues of connection Laplacian…
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…
Ricci curvature, diameter and eigenvalues of amply regular graphs
Kaizhe Chen, Chunyang Hu, Shiping Liu +1
Amply regular graphs are graphs with local distance-regularity constraints. In this paper, we prove a weaker version of a conjecture proposed by Qiao, Park, and Koolen on diameter…
Vertex isoperimetry on signed graphs and spectra of non-bipartite Cayley and Cayley sum graphs
Chunyang Hu, Shiping Liu
For a non-bipartite finite Cayley graph, we show the non-trivial eigenvalues of its normalized adjacency matrix lie in the interval $$\left[-1+\frac{ch_{out}^2}{d},1-\frac{Ch_{out}…