Abstract
<p style='text-indent:20px;'>In this paper, we characterize the graded post-Lie algebra structures on the Schrödinger-Virasoro Lie algebra. Furthermore, as an application, we obtain the all homogeneous Rota-Baxter operator of weight <inline-formula><tex-math id="M1">$ 1 $</tex-math></inline-formula> on the Schrödinger-Virasoro Lie algebra.</p>
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