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The CDp Curvature Condition on a Graph
Xi XU, Wang SHEN, Linfeng WANG
Frontiers of Mathematics ›› 2024, Vol. 19 ›› Issue (1) : 181-192.
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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