Signless Normalized Laplacian for Hypergraphs

Abstract

The spectral theory of the normalized Laplacian for chemical hypergraphs is further investigated. The signless normalized Laplacian is introduced and it is shown that its spectrum for classical hypergraphs coincides with the spectrum of the normalized Laplacian for bipartite chemical hypergraphs. Furthermore, the spectra of special families of hypergraphs are established.

References in corpus (5)

• Random walks on hypergraphs
• Coupled Dynamics on Hypergraphs: Master Stability of Steady States and Synchronization
• An Oriented Hypergraphic Approach to Algebraic Graph Theory
• Spectral Theory of Laplace Operators on Oriented Hypergraphs
• Spectra of hyperstars on public transportation networks

Cited by in corpus (6)

• $p$-Laplace Operators for Oriented Hypergraphs
• Coloring the normalized Laplacian for oriented hypergraphs
• Coupled Hypergraph Maps and Chaotic Cluster Synchronization
• A Cheeger Cut for Uniform Hypergraphs
• Geometry and symmetry in biochemical reaction systems
• Randomized hypergraph states and their entanglement properties