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• W4377020917 abstract "Even for nonnegative graphs, the pseudoinverse of a Laplacian matrix is not an “ordinary” (i.e., unsigned) Laplacian matrix but rather a signed Laplacian. In this paper, we show that the property of eventual positivity provides a natural embedding class for both signed and unsigned Laplacians, class which is closed with respect to pseudoinversion as well as to stability. Such a class can deal with both undirected and directed graphs. In particular, for digraphs, when dealing with pseudoinverse-related quantities such as effective resistance, two possible solutions naturally emerge, differing in the order in which the operations of pseudoinversion and of symmetrization are performed. Both lead to an effective resistance which is a Euclidean metric on the graph." @default.
• W4377020917 created "2023-05-19" @default.
• W4377020917 creator A5064589174 @default.
• W4377020917 creator A5080735941 @default.
• W4377020917 date "2023-05-17" @default.
• W4377020917 modified "2023-10-17" @default.
• W4377020917 title "Pseudoinverses of Signed Laplacian Matrices" @default.
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• W4377020917 doi "https://doi.org/10.1137/22m1493392" @default.
• W4377020917 hasPublicationYear "2023" @default.
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