Title: On the Adjacency Spectra of Hypertrees,
Abstract: We extend the results of Zhang et al. to show that $\lambda$ is an eigenvalue
of a $k$-uniform hypertree $(k \geq 3)$ if and only if it is a root of a
particular matching polynomial for a connected induced subtree. We then use
this to provide a spectral characterization for power hypertrees. Notably, the
situation is quite different from that of ordinary trees, i.e., $2$-uniform
trees. We conclude by presenting an example (an $11$ vertex, $3$-uniform
non-power hypertree) illustrating these phenomena.