The total-order conjecture for fixed-degree starlike trees
Let n1≥⋯≥nk≥2n_1\geq\cdots\geq n_k\geq 2n1≥⋯≥nk≥2 and m1≥⋯≥mk≥2m_1\geq\cdots\geq m_k\geq 2m1≥⋯≥mk≥2. Let T1=T(n1,…,nk)T_1=T(n_1,\ldots,n_k)T1=T(n1,…,nk) and T2=T(m1,…,mk)T_2=T(m_1,\ldots,m_k)T2=T(m1,…,mk) be starlike trees of order nnn and maximum degree kkk.…