14 citations · 30 across the 10 of their papers we have counts for
4 papers · 1 filter
Signatures, lifts, and eigenvalues of graphs
Shiping Liu, Norbert Peyerimhoff, Alina Vdovina
We study the spectra of cyclic signatures of finite graphs and the corresponding cyclic lifts. Starting from a bipartite Ramanujan graph, we prove the existence of an infinite towe…
Another characterization of tilted algebras
Shiping Liu
We give a new characterization of tilted algebras by the existence of certain special subquivers in their Auslander-Reiten quiver. This result includes the existent characterizatio…
An optimal dimension-free upper bound for eigenvalue ratios
Shiping Liu
On a closed weighted Riemannian manifold with nonnegative Bakry-Émery Ricci curvature, it is shown that the ratio of the -th to first eigenvalues of the weighted Laplacian is do…
Optimal Transport in Worldwide Metro Networks
Wei Li, Jiao Gu, Shiping Liu +5
Metro networks serve as good examples of traffic systems for understanding the relations between geometric structures and transport properties.We study and compare 28 world major m…