121 citations · 538 across the 72 of their papers we have counts for
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math.SP2015★ 16 cited
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…
math.SP2015★ 28 cited
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…