> Among other things, almost all trees are cospectral
This does not really mean that the spectrum is not interesting, does it? Only that all trees have nearly the same spectrum. Sure, there's not much variability inside the class of trees, but almost no graphs are trees. After all, the matrix associated to a tree is basically a permutation of the identity.
This does not really mean that the spectrum is not interesting, does it? Only that all trees have nearly the same spectrum. Sure, there's not much variability inside the class of trees, but almost no graphs are trees. After all, the matrix associated to a tree is basically a permutation of the identity.