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math.COOct 1, 2020
13
citations (OpenAlex)
authors
  • Jürgen Jost
  • Raffaella Mulas
institutions
  • Max Planck Institute for Mathematics in the Sciences
  • Santa Fe Institute
  • The Alan Turing Institute
  • University of Southampton
arXiv abstractPDF
paper

Normalized Laplace Operators for Hypergraphs with Real Coefficients

arXiv:2010.10100 · doi:10.1093/comnet/cnab009

Abstract

Chemical hypergraphs and their associated normalized Laplace operators are generalized and studied in the case where each vertex--hyperedge incidence has a real coefficient. We systematically study the effect of symmetries of a hypergraph on the spectrum of the Laplacian.

References in corpus (10)

  • Networks beyond pairwise interactions: structure and dynamics
  • On Automorphism Groups of Networks
  • Coupled Dynamics on Hypergraphs: Master Stability of Steady States and Synchronization
  • Spectral Characteristics of Network Redundancy
  • Exploiting symmetry in network analysis
  • An Oriented Hypergraphic Approach to Algebraic Graph Theory
  • Spectral Properties of Oriented Hypergraphs
  • A Characterization of Oriented Hypergraphic Laplacian and Adjacency Matrix Coefficients
  • Sharp bounds for the largest eigenvalue
  • Oriented Hypergraphic Matrix-tree Type Theorems and Bidirected Minors via Boolean Order Ideals

Cited by in corpus (4)

  • Structural reduction of chemical reaction networks based on topology
  • Hyper-diffusion on multiplex networks
  • Estimating cellular redundancy in networks of genetic expression
  • Interlacing Results for Hypergraphs
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