All eigenvalues of the power hypergraph and signed subgraphs of a graph

Lixiang Chen; Edwin R. van Dam; Changjiang Bu

doi:10.1016/j.laa.2023.07.012

All eigenvalues of the power hypergraph and signed subgraphs of a graph

Lixiang Chen, Edwin R. van Dam, Changjiang Bu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

3 Citations (Scopus)

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Abstract

We show how all eigenvalues of a power hypergraph G(k) can be generated from the eigenvalues of signed subgraphs of the underlying graph G. This fixes an incorrect statement in the case of power hypergraphs from Cardoso et al. (2020) [1].

Original language	English
Pages (from-to)	205-210
Number of pages	6
Journal	Linear Algebra and its Applications
Volume	676
DOIs	https://doi.org/10.1016/j.laa.2023.07.012
Publication status	Published - 1 Nov 2023

Keywords

Eigenvalues
Power hypergraphs
Signed graphs

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10.1016/j.laa.2023.07.012

1-s2.0-S0024379523002720-mainFinal published version, 249 KBLicence: Taverne

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title = "All eigenvalues of the power hypergraph and signed subgraphs of a graph",

abstract = "We show how all eigenvalues of a power hypergraph G(k) can be generated from the eigenvalues of signed subgraphs of the underlying graph G. This fixes an incorrect statement in the case of power hypergraphs from Cardoso et al. (2020) [1].",

keywords = "Eigenvalues, Power hypergraphs, Signed graphs",

author = "Lixiang Chen and {van Dam}, {Edwin R.} and Changjiang Bu",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

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T1 - All eigenvalues of the power hypergraph and signed subgraphs of a graph

AU - Chen, Lixiang

AU - van Dam, Edwin R.

AU - Bu, Changjiang

PY - 2023/11/1

Y1 - 2023/11/1

N2 - We show how all eigenvalues of a power hypergraph G(k) can be generated from the eigenvalues of signed subgraphs of the underlying graph G. This fixes an incorrect statement in the case of power hypergraphs from Cardoso et al. (2020) [1].

AB - We show how all eigenvalues of a power hypergraph G(k) can be generated from the eigenvalues of signed subgraphs of the underlying graph G. This fixes an incorrect statement in the case of power hypergraphs from Cardoso et al. (2020) [1].

KW - Eigenvalues

KW - Power hypergraphs

KW - Signed graphs

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U2 - 10.1016/j.laa.2023.07.012

DO - 10.1016/j.laa.2023.07.012

M3 - Article

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SN - 0024-3795

VL - 676

SP - 205

EP - 210

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

ER -

All eigenvalues of the power hypergraph and signed subgraphs of a graph

Abstract

Keywords

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