Constructing cospectral hypergraphs

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Abstract

Spectral hypergraph theory mainly concerns using hypergraph spectra to obtain structural information about the given hypergraphs. The study of cospectral hypergraphs is important since it reveals which hypergraph properties cannot be deduced from their spectra. In this paper, we show a new method for constructing cospectral uniform hypergraphs using two well-known hypergraph representations: adjacency tensors and adjacency matrices.

Original languageEnglish
Pages (from-to)729-740
Number of pages12
JournalLinear and Multilinear Algebra
Volume73
Issue number4
DOIs
Publication statusPublished - 2025

Bibliographical note

Publisher Copyright:
© 2024 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • adjacency tensor
  • Cospectral hypergraphs
  • E-cospectral hypergraphs
  • matrix representation

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