Signless Normalized Laplacian for Hypergraphs

Signless Normalized Laplacian for Hypergraphs

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. Fu...

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Veröffentlicht in:arXiv.org 2021-01
Hauptverfasser: Andreotti, Eleonora, Mulas, Raffaella
Format: Artikel
Sprache:eng
Schlagworte:
Graph theory
Laplace transforms
Mathematics - Combinatorics
Mathematics - Spectral Theory
Spectra
Spectral theory
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2005.14484