English

Adjacency spectra of some subdivision hypergraphs

Combinatorics 2023-07-26 v1

Abstract

Here, we define a subdivision operation for a hypergraph and compute all the eigenvalues of the subdivision of regular and certain non-regular hypergraphs. In non-regular hypergraphs, we investigate the power of regular graphs, various types of hyperflowers, and the squid-like hypergraph. Using our subdivision operation, we also show how to construct non-regular non-isomorphic cospectral hypergraphs.

Keywords

Cite

@article{arxiv.2307.13289,
  title  = {Adjacency spectra of some subdivision hypergraphs},
  author = {Anirban Banerjee and Arpita Das},
  journal= {arXiv preprint arXiv:2307.13289},
  year   = {2023}
}
R2 v1 2026-06-28T11:39:22.751Z