Contents

Ars Combinatoria

  • Research article

The Flower Intersection Problem for Steiner Systems \(S(3,4,v), v= 4-2^m, 5-2^m\)

Salvatore Milici1, Gaetano Quattrocchi1
1 Dipartimento di Matematica Universita’ di Catania viale A. Doria 6, 95125 Catania, ITALY
  • Published: 31/12/1990

Abstract

We determine those pairs \((k,v)\), \(v = 4\cdot2^m, 5\cdot2^m\), for which there exists a pair of Steiner quadruple systems on the same \(v\)-set, such that the quadruples in one system containing a particular point are the same as those in the other system and moreover the two systems have exactly \(k\) other quadruples in common.

Citation
Salvatore Milici, Gaetano Quattrocchi. The Flower Intersection Problem for Steiner Systems \(S(3,4,v), v= 4-2^m, 5-2^m\)[J], Ars Combinatoria, Volume 030. 225-240. .