论文标题
$ p $ -laplace操作员用于定向超图
$p$-Laplace Operators for Oriented Hypergraphs
论文作者
论文摘要
$ p $ -laplacian用于图形，以及顶点拉普拉斯操作员和针对定向超图的一般设置的HyperEdge Laplace运算符。特别是，对于所有$ p \ geq 1 $，定义了针对定向的超毛牌的顶点$ p $ -laplacian和HyperEdge $ p $ -laplacian。研究了这些操作员的几种光谱特性。
The $p$-Laplacian for graphs, as well as the vertex Laplace operator and the hyperedge Laplace operator for the general setting of oriented hypergraphs, are generalized. In particular, both a vertex $p$-Laplacian and a hyperedge $p$-Laplacian are defined for oriented hypergraphs, for all $p\geq 1$. Several spectral properties of these operators are investigated.
