• Title of article

    The geometry of regular trees with the Faber–Krahn property Original Research Article

  • Author/Authors

    Josef Leydold، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2002
  • Pages
    18
  • From page
    155
  • To page
    172
  • Abstract
    In this paper we prove a Faber–Krahn-type inequality for regular trees with boundary and give a complete characterization of extremal trees. The main tools are rearrangements and perturbation of regular trees.
  • Keywords
    Regular tree , Graph Laplacian , Dirichlet eigenvalue problem , Faber–Krahn inequality
  • Journal title
    Discrete Mathematics
  • Serial Year
    2002
  • Journal title
    Discrete Mathematics
  • Record number

    949962