块竞赛矩阵的谱半径(英文)

On the Spectral Radius of Multipartite Tournament Matrices

若 T=Tn1,n2 ,… nk是 k一块竟赛矩阵 ,则其谱半径ρ(T)的上界为p(T)≤ k- 12 k Σi<jninj,其中等号当且仅当 T为任意正则 k-均块 ,3≤ k,或者正则双块时成立 .本文已包含 [7,8]中的有关结果 .

Let T=T n 1,n 2,...n k be a k-partite tournament matrix. Then the spectral radius ρ(T) of T has the following upper bound:p(T)≤k-12k Σ i<j n in j , where the equality holds iff T is either regular k-equipartite, 3≤k, or regular bipartite.\;Some related results presented in are included.