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Finiteness of the graph p‑Laplacian spectrum

Determine whether the spectrum of the graph p‑Laplacian is always finite for arbitrary finite graphs and, if so, derive sharp bounds on the maximum possible number of eigenvalues (as a function of graph parameters).

References

Is the graph $p$-Laplacian spectrum always finite? If finite, how many eigenvalues can it have?

Nonlinear spectral graph theory (Deidda et al., 4 Apr 2025) in Subsection 3.1, p-Laplacian Spectrum count: criticisms and open problems