Publication Details

Dawson, JE, Seberry, J and Skillicorn, DB, The directed packing numbers DD(t,v,v),t ≥ 4, Combinatorica, 4, 1984, 121-130.


A directed packing is a maximal collection of k-subsets, called blocks, of a set of cardinality v having the property that no ordered t-subset occurs in more than one block. A block contains an ordered t-set if its symbols appear, left to right, in the block. The cardinality of such a maximal collection is denoted by DD(t, k, v). We consider the special case when k=v and derive some results on the sizes of maximal collections.