The largest signless Laplacian spectral radius of uniform supertrees with diameter and pendent edges (vertices)

Cunxiang Duan, Ligong Wang, Peng Xiao

Let $S_1(m,d,k)$ be the $k$-uniform supertree obtained from a loose path $P:v_1,e_1,v_2,\dots ,v_d,e_d,v_{d+1}$ with length $d$ by attaching $m-d$ edges at verte…