• Title of article

    Clique number and ball containment number of unit ball graphs

  • Author/Authors

    S Ceroi، نويسنده , , Stephan، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    4
  • From page
    22
  • To page
    25
  • Abstract
    For each d ≥ 2, we give the construction of a sequence (νdn)n>o of sets of (d+l)n points of diameter 1 in d, such that a unit ball cannot contain more than 1(d + 1)∣νn∣ + 1 points. In the case d=2, this answers a conjecture of McDiarmid.
  • Keywords
    Unit ball graphs , Borsukיs problem , ball containment number , clique number , proximity graphs
  • Journal title
    Electronic Notes in Discrete Mathematics
  • Serial Year
    2001
  • Journal title
    Electronic Notes in Discrete Mathematics
  • Record number

    1453163