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Questions related to the spectrum of graphs, defined using one of the possible variants of the discrete Laplace operator or Laplacian matrix. See https://en.wikipedia.org/wiki/Discrete_Laplace_operator

4 votes

Closed paths, traces and spectra

I would put this as a comment but don't have enough (any) reputation... Closed paths of length $\leq k$ show up when you take the trace of the alternating $k$th power of $A$, which is also equal to $\ …
Michael Magee's user avatar