• Title of article

    The semicircle law for semiregular bipartite graphs

  • Author/Authors

    Mizuno، نويسنده , , Hirobumi and Sato، نويسنده , , Iwao، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    17
  • From page
    174
  • To page
    190
  • Abstract
    We give the (Ahumada type) Selberg trace formula for a semiregular bipartite graph G. Furthermore, we discuss the distribution on arguments of poles of zeta functions of semiregular bipartite graphs. As an application, we present two analogs of the semicircle law for the distribution of eigenvalues of specified regular subgraphs of semiregular bipartite graphs.
  • Keywords
    Semiregular graph , Semicircle law , zeta function , Selberg trace formula
  • Journal title
    Journal of Combinatorial Theory Series A
  • Serial Year
    2003
  • Journal title
    Journal of Combinatorial Theory Series A
  • Record number

    1530761