The directed packing numbersDD(t, v, v), t≧4

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1984 Australia English Publisher:Springer Science and Business Media LLCJournal:Combinatorica, volume 4, pages 121-130 (issn: 0209-9683, eissn: 1439-6912,

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Authors: Jeremy E. Dawson; Jennifer Seberry; David B. Skillicorn;

doi: 10.1007/bf02579211

The directed packing numbersDD(t, v, v), t≧4

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Abstract

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

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Physical Sciences and Mathematics

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