Finiteness of signed graph p-Laplacian eigenvalues

Determine whether the number of eigenvalues of the signed graph p-Laplacian is finite for arbitrary p>1, beyond the established case in which p is an even integer.

Background

The paper reformulates the signed graph p-Laplacian eigenproblem as a tensor eigenproblem when p is even. Using the finiteness of generalized eigenvalues for symmetric tensors, it proves that the signed graph p-Laplacian has finitely many eigenvalues for even p. The authors explicitly identify the corresponding question for general p as unresolved.