Signless Normalized Laplacian for Hypergraphs

Eleonora Andreotti; Raffaella Mulas

Signless Normalized Laplacian for Hypergraphs

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arxiv 2005.14484 v2 pith:CQ7YAOZ4 submitted 2020-05-29 math.CO math.SP

Eleonora Andreotti , Raffaella Mulas This is my paper · ORCID

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keywords hypergraphslaplaciannormalizedchemicalsignlessspectrumbipartiteclassical

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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.

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Lin-Lu-Yau Ricci curvature on hypergraphs
math.DG 2025-07 reject novelty 5.0 of 10

The proposed hyperedge LLY curvature for hypergraphs has an ill-defined limit and the worked example is internally inconsistent.

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