A strictly k-fold degeneracy point, when perturbed, can produce at most k^2(k^2-1)/12 complex Weyl points, a number independent of the perturbation.
Remarks on Eigenvalues and Eigenvectors of Hermitian Matrices, Berry Phase, Adiabatic Connections and Quantum Hall Effect
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Multifold degeneracy points of quantum systems and singularities of matrix varieties
A strictly k-fold degeneracy point, when perturbed, can produce at most k^2(k^2-1)/12 complex Weyl points, a number independent of the perturbation.