{
  "id": "math/0602436",
  "version": "v1",
  "published": "2006-02-20T17:27:29.000Z",
  "updated": "2006-02-20T17:27:29.000Z",
  "title": "Spectral study of alliances in graphs",
  "authors": [
    "J. A. Rodriguez",
    "J. M. Sigarreta"
  ],
  "journal": "Discussiones Mathematicae Graph Theory 27 (1) (2007) 143-157",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we obtain several tight bounds on different types of alliance numbers of a graph: (global) defensive alliance number, global offensive alliance number and global dual alliance number. In particular, we investigate the relationship between the alliance numbers of a graph and its algebraic connectivity, its spectral radius, and its Laplacian spectral radius.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-20T17:27:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C69",
      "15A42",
      "05C50"
    ],
    "keywords": [
      "spectral study",
      "global dual alliance number",
      "global offensive alliance number",
      "laplacian spectral radius",
      "defensive alliance number"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2436R"
    }
  }
}