Second-largest signless Laplacian spectral radius conjecture for uniform supertrees
Let S2(m,d,k)S_{2}(m,d,k)S2(m,d,k) be the kkk-uniform supertree obtained from a loose path of diameter ddd by attaching m−dm-dm−d edges at the vertex v⌊d/2⌋v_{\lfloor d/2\rfloor}v⌊d/2⌋. Let S(m,d,k)\mathbb{S}(m,d,k)S(m,d,k)…