EKR type inequalities for 4-wise intersecting families

  • Authors:

  • Norihide Tokushige

  • Affiliations:

  • College of Education, Ryukyu University, Nishihara, Okinawa 903-0213, Japan

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2007

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Abstract

Let 1==t holds for all A,B,C,D@?F. Then we have |F|=0 and all nn"0(@e). We apply this result to get EKR type inequalities for ''intersecting and union families'' and ''intersecting Sperner families.''