An application of modified group divisible designs

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Let V be a finite set of order m × n, and assume that the points of V are arranged in an array of size m × n. A modified group divisible design is a group divisible design with the difference that each 2-subset {x, y} of V such that x and y are neither in the same row nor in the same column occurs λ times. In this paper we apply modified group divisible designs to construct covering designs, packing designs, and group divisible designs with block size 5.

Original languageEnglish
Pages (from-to)152-168
Number of pages17
JournalJournal of Combinatorial Theory, Series A
Issue number1
StatePublished - Oct 1994


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