Abstract
One of the most important historical contributions to the inverse eigenvalue problem associated with trees is the celebrated Parter–Wiener theorem. We offer an alternate elementary proof of this seminal result, utilizing the basic matrix tool known as the Schur-complement of a matrix, in connection with analyzing the nullspace structure of matrices whose graph is a tree.
Citation
Shaun Fallat. Johnna Parenteau. "Null vectors, Schur complements, and Parter vertices." Involve 15 (5) 843 - 856, 2022. https://doi.org/10.2140/involve.2022.15.843
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