Multiply-intersecting families revisited

  • Authors:

  • Norihide Tokushige

  • Affiliations:

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

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

Quantified Score

Hi-index 0.00

Visualization

Abstract

Motivated by the Frankl's results in [P. Frankl, Multiply-intersecting families, J. Combin. Theory B 53 (1991) 195-234], we consider some problems concerning the maximum size of multiply-intersecting families with additional conditions. Among other results, we show the following version of the Erdos-Ko-Rado theorem: for all r=5 and 1=n"0 and |kn-12|