# Constructing Laplacian matrices with Soules vectors: inverse eigenvalue problem and applications

@inproceedings{Devriendt2019ConstructingLM, title={Constructing Laplacian matrices with Soules vectors: inverse eigenvalue problem and applications}, author={Karel Devriendt and Renaud Lambiotte and Piet Van Mieghem}, year={2019} }

The symmetric nonnegative inverse eigenvalue problem (SNIEP) asks which sets of numbers (counting multiplicities) can be the eigenvalues of a symmetric matrix with nonnegative entries. While examples of such matrices are abundant in linear algebra and various applications, this question is still open for matrices of dimension $N\geq 5$. One of the approaches to solve the SNIEP was proposed by George W. Soules, relying on a specific type of eigenvectors (Soules vectors) to derive sufficient… CONTINUE READING

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