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Signless normalized Laplacian for hypergraphs

Eleonora Andreotti, Raffaella Mulas

2022Electronic Journal of Graph Theory and Applications12 citationsDOIOpen Access PDF

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.

Topics & Concepts

Bipartite graphLaplace operatorCombinatoricsMathematicsSpectrum (functional analysis)Spectral lineLaplacian matrixDiscrete mathematicsPhysicsGraphMathematical analysisQuantum mechanicsGraph theory and applicationsTopological and Geometric Data AnalysisComputational Drug Discovery Methods
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