论文标题
超图及其光谱的张量连接
Tensor join of hypergraphs and its spectra
论文作者
论文摘要
在本文中，我们通过使用张量介绍了有关超图的三个操作。我们表明，这三种配方是等效的，我们通常将其称为张量。我们表明，任何超图都可以看作是超图的张量连接。 Tensor加入使我们能够获得有关HyperGraphs的几类和新的操作类别。我们计算了该张量连接构建的加权超图的临床水平谱的邻接，laplacian，标准化的拉普拉斯谱。另外，我们推断出文献中超图谱的一些结果。作为一种应用，我们通过使用张量连接构建了几对邻接，拉普拉斯式的laplacian，归一化的拉普拉斯·凯西饰超图。
In this paper, we introduce three operations on hypergraphs by using tensors. We show that these three formulations are equivalent and we commonly call them as the tensor join. We show that any hypergraph can be viewed as a tensor join of hypergraphs. Tensor join enable us to obtain several existing and new classes of operations on hypergraphs. We compute the adjacency, the Laplacian, the normalized Laplacian spectrum of weighted hypergraphs constructed by this tensor join. Also we deduce some results on the spectra of hypergraphs in the literature. As an application, we construct several pairs of the adjacency, the Laplacian, the normalized Laplacian cospectral hypergraphs by using the tensor join.
