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Graphs, Simplicial Complexes and Hypergraphs: Spectral Theory and Topology
Raffaella Mulas, Danijela Horak and Jürgen Jost
In this chapter we discuss the spectral theory of discrete structures such as graphs, simplicial complexes and hypergraphs. We focus, in particular, on the corresponding Laplace operators. We present the theoretical foundations, but we also discuss the motivation to model and study real data with these tools.