Let $$\mathbb{S}$$ (m, d, k) be the set of k-uniform supertrees with m edges and
diameter d, and S1 (m, d, k) be the k-uniform supertree obtained from a loose
path u1, e1, u2, e2, …, ud, ed, ud+1 with length d by attaching m–d edges at
vertex u⌊d/2⌋+1. In this paper, we mainly determine S1 (m, d, k) with the
largest signless Laplacian spectral radius in $$\mathbb{S}$$ (m, d, k) for 3 ⩽ d
⩽ m − 1. ... hiện toàn bộ