On the spectral radius of uniform hypertrees

Abstract 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 ) + 1 k ⌉ ≤ α ≤ m , among k -uniform hypertrees with m edges and matching number β for 1 ≤ β ≤ ⌊ m ( k − 1 ) + 1 k ⌋ , and among k -uniform hypertrees with m edges and s branch vertices for 0 ≤ s ≤ ⌊ m − 1 2 ⌋ , respectively.