论文标题
一种频谱方法，达到定向超图和诱导的签名超图的发病率平衡
A spectral method to incidence balance of oriented hypergraphs and induced signed hypergraphs
论文作者
论文摘要
面向的超图是一款超图和发病率的方向，使每个边缘vertex发病率都有$+1 $或$ -1 $的标签。如果存在两者的顶点集合，使得每个边缘在积极的入射顶点中与边缘的一个部分相交，则称呼为导向的超图平衡。在本文中，我们通过相关矩阵和张量的特征值研究了定向的超图和诱导的签名超图的发生率平衡，并提供了一种频谱方法来表征其均衡的定向超图及其诱导的签名超差异。
An oriented hypergraph is a hypergraph together with an incidence orientation such that each edge-vertex incidence is given a label of $+1$ or $-1$. An oriented hypergraph is called incidence balanced if there exists a bipartition of the vertex set such that every edge intersects one part of the bipartition in positively incident vertices with the edge and other part in negatively incident vertices with the edge. In this paper, we investigate the incidence balance of oriented hypergraphs and induced signed hypergraphs by means of the eigenvalues of associated matrices and tensors, and provide a spectral method to characterize the incidence balanced oriented hypergraphs and their induced signed hypergraphs.
