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- W2898092585 abstract "In this paper, we establish Buser type inequalities, i.e., upper bounds for eigenvalues in terms of Cheeger constants. We prove the Buser's inequality for an infinite but locally finite connected graph with Ricci curvature lower bounds. Furthermore, we derive that the graph with positive curvature is finite, especially for unbounded Laplacians. By proving Poincar'e inequality, we obtain a lower bound on Cheeger constant in terms of positive curvature." @default.
- W2898092585 created "2018-11-02" @default.
- W2898092585 creator A5000979147 @default.
- W2898092585 date "2018-10-29" @default.
- W2898092585 modified "2023-09-24" @default.
- W2898092585 title "Buser's inequality on infinite graphs" @default.
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- W2898092585 doi "https://doi.org/10.48550/arxiv.1810.12003" @default.
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