关于有向均匀和非均匀超图谱的研究
On the spectrum of directed uniform and non-uniform hypergraphs
AI总结：
本文提出用不同连接张量表示一般有向超图，展示无向超图的谱性质结果也适用于一般有向均匀超图，并引入弱*不可约超矩阵概念以解释超图连通性。
摘要：
本文提出了一种用不同连接张量表示一般有向均匀和非均匀超图的方法。我们展示了许多关于无向超图谱性质的结果也适用于一般有向均匀超图。我们的连接张量表示将对进一步发展有向超图的谱理论非常有用。最后，我们还引入了弱*不可约超矩阵的概念，以更好地解释有向超图的连通性。
英文摘要：
Here, we suggest a method to represent general directed uniform and non-uniform hypergraphs by different connectivity tensors. We show many results on spectral properties of undirected hypergraphs also hold for general directed uniform hypergraphs. Our representation of a connectivity tensor will be very useful for the further development in spectral theory of directed hypergraphs. At the end, we have also introduced the concept of weak* irreducible hypermatrix to better explain connectivity of a directed hypergraph.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
