Corpus ID: 202750200

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}
}
  • Karel Devriendt, Renaud Lambiotte, Piet Van Mieghem
  • Published 2019
  • Mathematics, Physics
  • 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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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 50 REFERENCES

    Constructing symmetric nonnegative matrices

    VIEW 9 EXCERPTS
    HIGHLY INFLUENTIAL

    The NIEP

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    The Simplex Geometry of Graphs

    VIEW 1 EXCERPT