  Many real-world networks exhibit a high degeneracy at few eigenvalues. We
show that a simple transformation of the network's adjacency matrix provides an
understanding of the origins of occurrence of high multiplicities in the
networks spectra. We find that the eigenvectors associated with the degenerate
eigenvalues shed light on the structures contributing to the degeneracy. Since
these degeneracies are rarely observed in model graphs, we present results for
various cancer networks. This approach gives an opportunity to search for
structures contributing to degeneracy which might have an important role in a
network.
