The Parter-Wiener Theorem: Refinement and Generalization. - Charles R. Johnson; António Leal Duarte; Carlos M. Saiago (SIAM J. Matrix Anal. Appl., 2003)

Converse to the Parter-Wiener theorem: The case of non-trees. - Charles R. Johnson; António Leal Duarte (Discret. Math., 2006)

Changes in vertex status and the fundamental decomposition of a tree relative to a multiple (parter) eigenvalue. - Charles R. Johnson; António Leal Duarte; Paul R. McMichael (Discret. Appl. Math., 2017)