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Let us say I have a symmetric graph adjacency matrix A, a degree matrix D, a laplacian L (D-A). I have a generalized eigenvalue equation $Av=\lambda Lv$. Does the eigenvalue/vectors produced in this way have any graph theoretic interpretations?

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    $\begingroup$ What is the motivation for this equation? $\endgroup$
    – Felix Goldberg
    Commented Apr 9, 2014 at 14:09
  • $\begingroup$ I would imagine that this very much depends on the null space of $L$. $\endgroup$
    – Delio Mugnolo
    Commented Dec 1, 2014 at 20:20

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