{
  "id": "1909.07312",
  "version": "v1",
  "published": "2019-09-16T16:16:52.000Z",
  "updated": "2019-09-16T16:16:52.000Z",
  "title": "On the energy of digraphs",
  "authors": [
    "Juan R. Carmona"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $D$ be a simple digraph with eigenvalues $z_1,z_2,...,z_n$. The energy of $D$ is defined as $E(D)= \\sum_{i=1}^n |Re(z_i)|$, is the real part of the eigenvalue $z_i$. In this paper a lower bound will be obtained for the spectral radius of $D$, wich improves some the lower bounds that appear in the literature \\cite{G-R}, \\cite{T-C}. This result allows us to obtain an upper bound for the energy of $ D $. Finally, digraphs are characterized in which this upper bound improves the bounds given in \\cite{G-R} and \\cite{T-C}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-16T16:16:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "upper bound",
      "lower bound",
      "eigenvalue",
      "simple digraph",
      "real part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}