The root laplacian operator or the square root of Laplacian which can be obtained in complete Riemannian manifolds in the Gromov sense has an analog in graph theory as a square root of graph-Laplacian. Some potential applications have been shown in geometric deep learning (spectral clustering) and graph signal processing.

翻译：根拉普拉斯算子，或称拉普拉斯算子的平方根，可在Gromov意义下的完备黎曼流形中获得。在图论中，其对应物为图拉普拉斯算子的平方根。该算子在几何深度学习（谱聚类）与图信号处理中已展现出若干潜在应用。