English

On the signless Laplacian spectrum of k-uniform hypergraphs

Combinatorics 2023-03-20 v1

Abstract

Let H\mathcal{H} be a connected kk-uniform hypergraph on nn vertices and mm hyperedges. In [A.~Banerjee, On the spectrum of hypergraph, Linear Algebra and its Application, 614(2021), 82--110], Anirban Banerjee introduced a new adjacency matrix for hypergraphs. In this article we consider the corresponding signless Laplacian matrix Q(H)Q(\mathcal{H}) and discuss about its spectrum.

Keywords

Cite

@article{arxiv.2303.09903,
  title  = {On the signless Laplacian spectrum of k-uniform hypergraphs},
  author = {R. B. Bapat and S. S. Saha and S. K. Panda},
  journal= {arXiv preprint arXiv:2303.09903},
  year   = {2023}
}