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Normalized Laplace operators for hypergraphs with real coefficients

Normalized Laplace operators for hypergraphs with real coefficients
Normalized Laplace operators for hypergraphs with real coefficients

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.

Laplace operator, chemical hypergraphs, spectral theory
2051-1310
Jost, Jürgen
6804187c-1b74-4df9-9b87-3af2855da512
Mulas, Raffaella
1ceeaad9-da27-4bb3-bd5b-4f0c7ec422e5
Estrada, Ernesto
db2c0bfa-03eb-4553-8979-29391c3b993e
Jost, Jürgen
6804187c-1b74-4df9-9b87-3af2855da512
Mulas, Raffaella
1ceeaad9-da27-4bb3-bd5b-4f0c7ec422e5
Estrada, Ernesto
db2c0bfa-03eb-4553-8979-29391c3b993e

Jost, Jürgen and Mulas, Raffaella , Estrada, Ernesto (ed.) (2021) Normalized Laplace operators for hypergraphs with real coefficients. Journal of Complex Networks, 9 (1). (doi:10.1093/comnet/cnab009).

Record type: Article

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.

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2010.10100 - Accepted Manuscript
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More information

Accepted/In Press date: 5 March 2021
Published date: 12 April 2021
Keywords: Laplace operator, chemical hypergraphs, spectral theory

Identifiers

Local EPrints ID: 450363
URI: http://eprints.soton.ac.uk/id/eprint/450363
DOI: doi:10.1093/comnet/cnab009
ISSN: 2051-1310
PURE UUID: 0dcdd9c1-a7f9-4d75-b2f7-722c05917289

Catalogue record

Date deposited: 26 Jul 2021 16:31
Last modified: 17 Mar 2024 06:38

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Contributors

Author: Jürgen Jost
Author: Raffaella Mulas
Editor: Ernesto Estrada

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