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Kron Reduction of Graphs With Applications to Electrical Networks

Kron Reduction of Graphs With Applications to Electrical Networks

Consider a weighted undirected graph and its corresponding Laplacian matrix, possibly augmented with additional diagonal elements corresponding to self-loops. The Kron reduction of this graph is again a graph whose Laplacian matrix is obtained by the Schur complement of the original Laplacian matrix with respect to a specified subset of …