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math.CO2023
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}…
math.CO2022
Discrete Bakry-Émery curvature tensors and matrices of connection graphs
Chunyang Hu, Shiping Liu
Liu, Münch, and Peyerimhoff introduced the notion of Bakry-Émery curvature for connection graphs as a means to derive Buser-type bounds on the eigenvalues of connection Laplacians.…