Algebraic Multiplicity of the Eigenvalues of a Bipartite Tournament Matrix
Yi-Zheng Fan, Jiong-Sheng Li · SIAM Journal on Matrix Analysis and Applications · 2002
Let $\mathcal{B}$ be a bipartite tournament, and let $A(\mathcal{B})$ be its adjacency matrix. $A(\mathcal{B})$ is called a bipartite tournament matrix. In this paper, we mainly discuss the spectral properties of a bipartite tournament matrix, especially for the algebraic multiplicity of the eigenvalue 0 and the number of distinct eigenvalues.