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MiS Preprint
17/2022

Graphs, Simplicial Complexes and Hypergraphs: Spectral Theory and Topology

Raffaella Mulas, Danijela Horak and Jürgen Jost

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.

Received:
Apr 28, 2022
Published:
Apr 28, 2022

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inBook
2022 Repository Open Access
Raffaella Mulas, Danijela Horak and Jürgen Jost

Graphs, simplicial complexes and hypergraphs : spectral theory and topology

In: Higher-order systems / Federico Battiston... (eds.)
Cham : Springer, 2022. - pp. 1-58
(Understanding complex systems)