{
  "id": "1909.10878",
  "version": "v1",
  "published": "2019-09-20T20:58:23.000Z",
  "updated": "2019-09-20T20:58:23.000Z",
  "title": "A new kind of Hermitian matrices for digraphs",
  "authors": [
    "Bojan Mohar"
  ],
  "comment": "Linear Algebra Appl. (2019), in press. arXiv admin note: text overlap with arXiv:1505.01321",
  "categories": [
    "math.CO"
  ],
  "abstract": "In an earlier work, the author together with Guo [Hermitian adjacency matrix of digraphs and mixed graphs, J. Graph Theory 85 (2017) 217-248] introduced the Hermitian adjacency matrix of directed (and partially directed) graphs. However, it appears that a more natural Hermitian matrix exists, and it is the purpose of this note to bring this new Hermitian matrix to the attention of researchers in algebraic graph theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-20T20:58:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50"
    ],
    "keywords": [
      "hermitian adjacency matrix",
      "algebraic graph theory",
      "natural hermitian matrix",
      "earlier work",
      "mixed graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}