We give a sufficient condition for the essential self-adjointness of a perturbation of the square of the magnetic Laplacian on an infinite weighted graph. The main result is applicable to graphs whose degree function is not necessarily bounded. The result allows perturbations that are not necessarily bounded from below by a constant.

中文翻译：

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无限图上扰动双拉普拉斯算子的自邻接性

我们给出了无限加权图上磁拉普拉斯算子的平方微扰的本质自伴随性的充分条件。主要结果适用于度函数不一定有界的图。结果允许从下方不一定由常数限制的扰动。