Comments on"Condensation of the digraph associated with a reciprocal matrix and a vector", arXiv:2607.10279

Abstract

Since manuscript \cite{R}, recently posted on arXiv, is closely related to our previous work, we would like to clarify some facts about it. Namely, we would like to point out that several results in \cite{R} are already known (Theorem 1 and Corollaries 2, 3 and 4) and some observations regarding our work \cite{FJ} are not correct. We also notice that R\'{e}dei's Theorem, a classical result in graph theory, gives a simple tool to show Theorems 5 and 9.