p-Laplacian Operators on Hypergraphs

2023/03/14 by Ariane Fazeny, Fazeny, Ariane · 1 citation
Computer Science · Mathematics · #05C65 #35R02 (Primary) 35J05 #47B02 (Secondary) #Advanced Mathematical Modeling in Engineering #Combinatorics (math.CO) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2304.06468

openalex publication_date 2023/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 p-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.

Cited by

• Non-Markovian heat flows on directed hypergraphs

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