Higher-order connection Laplacians for directed simplicial complexes

Higher-order connection Laplacians for directed simplicial complexes

Higher-order networks encode the many-body interactions existing in complex systems, such as the brain, protein complexes, and social interactions. Simplicial complexes are higher-order networks that allow a comprehensive investigation of the interplay between topology and dynamics. However, simplic...

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Bibliographic Details
Main Authors: Xue Gong, Desmond J Higham, Konstantinos Zygalakis, Ginestra Bianconi
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:Journal of Physics: Complexity
Subjects:
connection Laplacian
simplicial complex
higher-order diffusion
Hodge Laplacian
magnetic Laplacian
Online Access:https://doi.org/10.1088/2632-072X/ad353b

Internet

https://doi.org/10.1088/2632-072X/ad353b

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