121 citations · 538 across the 72 of their papers we have counts for
3 papers · 1 filter
Curvature and higher order Buser inequalities for the graph connection Laplacian
Shiping Liu, Florentin Münch, Norbert Peyerimhoff
We study the eigenvalues of the connection Laplacian on a graph with an orthogonal group or unitary group signature. We establish higher order Buser type inequalities, i.e., we pro…
Cluster categories of type and triangulations of the infinite strip
Shiping Liu, Charles Paquette
We first study the (canonical) orbit category of the bounded derived category of finite dimensional representations of a quiver with no infinite path, and we pay more attention on…
Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians
Carsten Lange, Shiping Liu, Norbert Peyerimhoff +1
We discuss a Cheeger constant as a mixture of the frustration index and the expansion rate, and prove the related Cheeger inequalities and higher order Cheeger inequalities for gra…