Hypergraph Laplace operators for chemical reaction networks

DOI10.1016/j.aim.2019.05.025zbMath1415.05107arXiv1804.01474OpenAlexW2963492850WikidataQ127812287 ScholiaQ127812287MaRDI QIDQ2001592

Raffaella Mulas, Juergen Jost

Publication date: 10 July 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.01474

zbMATH Keywords

eigenvaluesLaplace operatorspectral theoryhypergraphs

Mathematics Subject Classification ID

Applications of graph theory (05C90) Hypergraphs (05C65) Classical flows, reactions, etc. in chemistry (92E20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (19)

Networks beyond pairwise interactions: structure and dynamics ⋮ \(p\)-Laplace operators for oriented hypergraphs ⋮ Graphs, Simplicial Complexes and Hypergraphs: Spectral Theory and Topology ⋮ Pattern Formation on Hypergraphs ⋮ Signless normalized Laplacian for hypergraphs ⋮ Random walks and Laplacians on hypergraphs: when do they match? ⋮ Unnamed Item ⋮ Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms ⋮ Cheeger‐like inequalities for the largest eigenvalue of the graph Laplace operator ⋮ Cosh gradient systems and tilting ⋮ The structure and dynamics of networks with higher order interactions ⋮ Spectral theory of weighted hypergraphs via tensors ⋮ Nonlinear evolution equation associated with hypergraph Laplacian ⋮ Random geometric complexes and graphs on Riemannian manifolds in the thermodynamic limit ⋮ Coloring the normalized Laplacian for oriented hypergraphs ⋮ Unnamed Item ⋮ Spectral theory of Laplace operators on oriented hypergraphs ⋮ Sharp bounds for the largest eigenvalue ⋮ A Cheeger cut for uniform hypergraphs

Cites Work

• Normalized graph Laplacians for directed graphs
• Riemannian geometry and geometric analysis
• Unnamed Item

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