Principal submatrices of co-order one with the biggest Perron root
This paper concerns principal submatrices of co-order 1 with the largest Perron root. Results are given in spectral terms, but proved in graph-theoretic language. Accordingly, the paper begins by discussing maximal proper strong subdigraphs, Hamiltonian walks in extremal one-vertex-deleted subdigraphs and then turns to Perron-generated eigenvectors for principal submatrices of co-order 1 with the largest Perron root, and finally discusses some classes of irreducible matrices with irreducible principal submatrices of co-order 1 having the largest Perron root.
scientific article; zbMATH DE number 2117278