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Spectral theory of weighted hypergraphs via tensors
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-6797-5270
2022 (English)In: Linear and multilinear algebra, ISSN 0308-1087, E-ISSN 1563-5139, p. 1-31Article in journal (Refereed) Published
Abstract [en]

One way to study a hypergraph is to attach to it a tensor. Tensors are a generalization of matrices, and they are an efficient way to encode information in a compact form. In this paper, we study how properties of weighted hypergraphs are reflected on eigenvalues and eigenvectors of their associated tensors. We also show how to efficiently compute eigenvalues with some techniques from numerical algebraic geometry.

Place, publisher, year, edition, pages
Informa UK Limited , 2022. p. 1-31
Keywords [en]
05C50, 05C65, eigenvalues, Spectral hypergraph theory, tensors, weighted hypergraphs
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:kth:diva-320342DOI: 10.1080/03081087.2022.2030659ISI: 000749420700001Scopus ID: 2-s2.0-85123946872OAI: oai:DiVA.org:kth-320342DiVA, id: diva2:1704633
Note

QC 20221019

Available from: 2022-10-19 Created: 2022-10-19 Last updated: 2022-10-19Bibliographically approved

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Venturello, Lorenzo

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