AI 中文总结
针对arXiv论文《与互反矩阵和向量相关的有向图的凝聚》发表评论,指出其中部分结果已知,一些关于自身工作的观察有误,还表明图论中Rédei定理能为证明该论文的定理5和9提供简单工具。
AI 中文摘要
由于最近发表在arXiv上的论文\cite{R}与我们之前的工作密切相关,我们想阐明一些关于它的事实。具体而言,我们想指出\cite{R}中的几个结果(定理1以及推论2、3和4)是已知的,并且一些关于我们工作\cite{FJ}的观察是不正确的。我们还注意到,图论中的经典结果Rédei定理为证明定理5和9提供了一个简单工具。
英文摘要
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 Rédei's Theorem, a classical result in graph theory, gives a simple tool to show Theorems 5 and 9.