{
  "id": "2106.07042",
  "version": "v1",
  "published": "2021-06-13T16:57:19.000Z",
  "updated": "2021-06-13T16:57:19.000Z",
  "title": "Adjacency Energy of Hypergraphs",
  "authors": [
    "Kauê Cardoso",
    "Renata Del-Vecchio",
    "Lucas Portugal",
    "Vilmar Trevisan"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we define and obtain several properties of the (adjacency) energy of a hypergraph. In particular, bounds for this energy are obtained as functions of structural and spectral parameters, such as Zagreb index and spectral radius. We also study how the energy of a hypergraph varies when a vertex/edge is removed or when an edge is divied. In addition, we solved the extremal problem energy for the class of hyperstars, and show that the energy of a hypergraph is never an odd number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-13T16:57:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "adjacency energy",
      "extremal problem energy",
      "zagreb index",
      "odd number",
      "hypergraph varies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}