定向超图逆Perron值的若干上界

Some Upper Bounds for the Inverse Perron Value of Oriented Hypergraphs

定向超图是一个带有点-边关联定向的超图。基于定向超图邻接张量和拉普拉斯张量的定义给出了定向超图逆Perron值和逆Perron向量。利用定向超图的顶点数、边数、度序列和逆Perron向量刻画了定向超图逆Perron值的若干上界。

An oriented hypergraph is a hypergraph with an incidence function on each vertex and its incidence edge.Based on the definition of adjacent tensor and Laplacian tensor of oriented hypergraph,the definitions of inverse Perron value and inverse Perron vector of oriented hypergraph are presented.Some upper bounds of the inverse Perron value of an oriented hypergraph are given in terms of the number of vertices,edges,degree sequences and the inverse Perron vector.