English

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

Combinatorics 2023-07-11 v2

Abstract

We show how all eigenvalues of a power hypergraph G(k)G^{(k)} can be generated from the eigenvalues of signed subgraphs of the underlying graph GG. This fixes an incorrect statement in the case of power hypergraphs from [Linear Algebra and its Applications, 590:243-257, 2020].

Keywords

Cite

@article{arxiv.2209.03709,
  title  = {All eigenvalues of the power hypergraph and signed subgraphs of a graph},
  author = {Lixiang Chen and Edwin R. van Dam and Changjiang Bu},
  journal= {arXiv preprint arXiv:2209.03709},
  year   = {2023}
}