Haim Hanani, Alan Hartman, et al.
Discrete Mathematics
A Steiner quadruple system of order v is a set X of cardinality v, and a set Q, of 4-subsets of X, called blocks, with the property that every 3-subset of X is contained in a unique block. A Steiner quadruple system is resolvable if Q can be partitioned into parallel classes (partitions of X). A necessary condition for the existence of a resolvable Steiner quadruple system is that v≡4 or 8 (mod 12). In this paper we show that this condition is also sufficient for all values of v, with 24 possible exceptions. © 1987.
Haim Hanani, Alan Hartman, et al.
Discrete Mathematics
Alan Hartman, Alexander Rosa
European Journal of Combinatorics
Alan Hartman, Andrei Kirshin, et al.
SEAPP 2002
Ahmed M. Assaf, Alan Hartman
Discrete Mathematics