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math.DG2025
A generalized Cheeger inequality and the Steklov Problem on finite graphs
Bobo Hua, Supanat Kamtue, Shiping Liu +2
We prove generalized Cheeger inequalities for eigenvalues of Laplacians for reversible Markov chains. Then we apply Hassannezhad and Miclo's convergence result to obtain Jammes Che…
math.DG2025
Quantitative Obata's theorem in discrete setting
Shiping Liu, Chiyu Zhou
Under mild assumptions, we show that a connected weighted graph with lower Ricci curvature bound in the sense of Bakry-Émery and the -th non-zero Laplacian eigenvalue…