p-Laplace Operators for Oriented Hypergraphs

Author:

Jost Jürgen,Mulas RaffaellaORCID,Zhang Dong

Abstract

AbstractThe 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 ≥ 1. Several spectral properties of these operators are investigated.

Funder

Max Planck Institute for Mathematics in the Sciences

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Curvature, Diameter and Signs of Graphs;The Journal of Geometric Analysis;2024-08-31

2. Hypergraph p-Laplacians and Scale Spaces;Journal of Mathematical Imaging and Vision;2024-04-23

3. Nodal domain theorems for $p$-Laplacians on signed graphs;Journal of Spectral Theory;2023-11-24

4. Symmetric matrices, signed graphs, and nodal domain theorems;Calculus of Variations and Partial Differential Equations;2023-04-21

5. Nonlinear evolution equation associated with hypergraph Laplacian;Mathematical Methods in the Applied Sciences;2023-01-27

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