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arXiv · 2007.00325

$p$-Laplace Operators for Oriented Hypergraphs

Jürgen Jost·Raffaella Mulas·Dong Zhang
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Abstract

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.

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Jürgen Jost, Raffaella Mulas, Dong Zhang. 2021-06-15. $p$-Laplace Operators for Oriented Hypergraphs. https://doi.org/10.1007/s10013-021-00525-4

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