摘要
给出了足球竞赛矩阵的特征值的实部和虚部的界，以及谱半径的上界，并确定了可约足球竞赛矩阵的最大谱半径以及最小与次小谱半径．
Bounds on the real imaginary parts of the eigenvalues of a football tournament matrix are given and an upper bound on the spectral radius of a football tournament matrix is obtained. Finally, the largest spectral radius and the two smallest spectral radius of reducible football tournament matrices are determined.
基金
国际自然科学基金资助
国家教育部博士点基金资助
关键词
足球竞赛矩阵
谱半径
有向图
竞赛图
football tournament matrix, reducible football tournament matrix, spectral radius, digraph
