Graphs, Simplicial Complexes and Hypergraphs: Spectral Theory and Topology

Raffaella Mulas, Danijela Horak, J. Jost

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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.
Original languageEnglish
Title of host publicationHigher-Order Systems
EditorsFederico Battiston, Giovanni Petri
PublisherSpringer
Chapter1
Pages1-58
Number of pages58
ISBN (Electronic)9783030913748
ISBN (Print)9783030913731, 9783030913762
DOIs
Publication statusPublished - 2022
Externally publishedYes

Publication series

NameUnderstanding Complex Systems (UCS)
PublisherSpringer

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