{
  "id": "2102.10248",
  "version": "v1",
  "published": "2021-02-20T03:44:21.000Z",
  "updated": "2021-02-20T03:44:21.000Z",
  "title": "On the spectral radius of graphs without a star forest",
  "authors": [
    "Ming-Zhu Chen",
    "A-Ming Liu",
    "Xiao-Dong Zhang"
  ],
  "comment": "15 pages",
  "journal": "Discrete Mathematics;2021",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we present two sharp upper bounds for the spectral radius of (bipartite) graphs with forbidden a star forest and characterize all extremal graphs. Moreover, the minimum least eigenvalue of the adjacency matrix of graph with forbidden a star forest and all extremal graphs for graphs are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-20T03:44:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50",
      "05C35"
    ],
    "keywords": [
      "star forest",
      "spectral radius",
      "extremal graphs",
      "sharp upper bounds",
      "adjacency matrix"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}