Mathematics, Electrical and Computer Engineering
Journal or Book Title
Electronic Journal of Linear Algebra
Associated with a simple graph G is a family of real, symmetric zero diagonal matrices with the same nonzero pattern as the adjacency matrix of G. The minimum of the ranks of the matrices in this family is denoted mr(0)(G). We characterize all connected graphs G with extreme minimum zero-diagonal rank: a connected graph G has mr(0)(G)
Grood, Cheryl; Harmse, Johannes; Hogben, Leslie; Hunter, Thomas J.; Jacob, Bonnie; Klimas, Andrew; and McCathern, Sharon, "Minimum rank with zero diagonal" (2014). Mathematics Publications. 230.