Before revision:  We next show a new relation between the persistent Laplacian and the so-called Schur complement of a matrix . This has several interesting implications. For example, in the graph case, this uncovers a relation with the notion of effective resistance , as well as a persistent version of the Cheeger inequality.
After revision:  We next show a new relation between the persistent Laplacian and the so-called Schur complement of a matrix which has several important implications. In the graph case, this uncovers a relation with the notion of effective resistance , as well as a persistent version of the Cheeger inequality.