1 citations · 1 across the 4 of their papers we have counts for
4 papers
Discrete trace formulas and holomorphic functional calculus for the adjacency matrix of regular graphs
Yulin Gong, Wenbo Li, Shiping Liu
We provide a unified method to study the adjacency matrices of regular graphs (including infinite ones) using holomorphic functional calculus. By applying this calculus on a specif…
Spectral convergence of random regular graphs: Chebyshev polynomials, non-backtracking walks, and unitary-color extensions
Yulin Gong, Wenbo Li, Shiping Liu
In this paper, we give a short proof of the weak convergence to the Kesten-McKay distribution for the normalized spectral measures of random -lifts. This result is derived by ge…
On the nontrivial extremal eigenvalues of graphs
Wenbo Li, Shiping Liu
We present a finer quantitative version of an observation due to Breuillard, Green, Guralnick and Tao which tells that for finite non-bipartite Cayley graphs, once the nontrivial e…
Graph bundles and Ricci-flatness
Wenbo Li, Shiping Liu
We develop a systematical way of constructing S-Ricci flat graphs which are not Abelian Cayley via graph bundle with explicit examples. For this purpose, we prove that, with some n…