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The CDp Curvature Condition on a Graph
Xi XU, Wang SHEN, Linfeng WANG
In this paper we firstly prove that the CDp curvature condition always satisfies for on any connected locally finite graph. We show this property does not hold for . We also derive a lower bound for the first nonzero eigenvalue of the p-Laplace operator on a connected finite graph with the CDp(m, K) condition for the case that and K > 0.
p-Laplace operator / CDp condition / graph / eigenvalue
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