{
  "id": "1502.06475",
  "version": "v1",
  "published": "2015-02-17T10:54:23.000Z",
  "updated": "2015-02-17T10:54:23.000Z",
  "title": "Some bounds on the eigenvalues of uniform hypergraphs",
  "authors": [
    "Xiying Yuan",
    "Man Zhang",
    "Mei Lu"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $\\mathcal{H}$ be a uniform hypergraph. Let $\\mathcal{A(H)}$ and $\\mathcal{Q(H)}$ be the adjacency tensor and the signless Laplacian tensor of $\\mathcal{H}$, respectively. In this note we prove several bounds for the spectral radius of $\\mathcal{A(H)}$ and $\\mathcal{Q(H)}$ in terms of the degrees of vertices of $\\mathcal{H}.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-17T10:54:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "uniform hypergraph",
      "eigenvalues",
      "spectral radius",
      "adjacency tensor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}