On the spectral radius of uniform hypertrees

We determine the unique hypertrees with maximum spectral radius among k-uniform non-hyper-caterpillars with m edges and diameter d for 4≤d≤m−2, among k-uniform non-hyper-caterpillars with m edges for m≥6, among k-uniform hypertrees with m edges and independence number α for ⌈m(k−1)+1k⌉≤α≤m, among k-uniform hypertrees with m edges and matching number β for 1≤β≤⌊m(k−1)+1k⌋, and among k-uniform hypertrees with m edges and s branch vertices for 0≤s≤⌊m−12⌋, respectively.