Graphs, Simplicial Complexes and Hypergraphs: Spectral Theory and Topology

Raffaella Mulas, Danijela Horak, and Jürgen Jost

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Submission date: 28. Apr. 2022
Bibtex
DOI number (of the published article): 10.1007/978-3-030-91374-8_1

Abstract:
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.