Horst Sachs's scientific contributions

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Publications (1)


Spectra of Graphs
  • Article

January 1980

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342 Reads

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539 Citations

Dragoš M. Cvetković

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Horst Sachs
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Citations (1)


... For instance, the left-hand side of Equation (11) is reminiscent to certain quantities used in the theory of eigenvalue interlacing [38], while the matrix (B − tI) −1 on the right-hand side is known as the resolvent of B , which has many applications in random matrix theory [39]. On a different note, Cvetkovic et al. [40] highlight that most matrices associated to graphs are linear combinations of I, A, and D, whereas the NB-matrix is associated with a quadratic combination of I, A, and D, via Equation (3). In the future, we will explore which other matrices associated with graphs can be studied via quadratic, or higher order, combinations of I, A, and D. ...

Reference:

Node Immunization with Non-backtracking Eigenvalues
Spectra of Graphs
  • Citing Article
  • January 1980