$p$-Laplacian Operators on Hypergraphs
Combinatorics
2023-04-14 v1 Spectral Theory
Abstract
This thesis generalizes the differential operators on standard oriented graphs and oriented hypergraphs introduced in 10.1137/15M1022793 and arXiv:2007.00325. The extended concepts of gradients, adjoints and -Laplacians for vertices and (hyper)arcs include novel parametrization possibilities, while simultaneously fulfilling expected properties of the continuum setting, which are not granted by current definitions.
Cite
@article{arxiv.2304.06468,
title = {$p$-Laplacian Operators on Hypergraphs},
author = {Ariane Fazeny},
journal= {arXiv preprint arXiv:2304.06468},
year = {2023}
}
Comments
Master's thesis, 132 pages 0 figures