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Digitale Medien

Perfect Mendelsohn Packing Designs with Block Size Five (1998)

Bennett, F. E. ; Yin, J. ; Zhang, H. ; [weitere]

Springer

Designs, codes and cryptography 14 (1998), S. 5-22

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Details

ISSN: 1573-7586

Schlagwort(e): perfect Mendelsohn packing designs ; incomplete perfect Mendelsohn designs ; transversal designs

Quelle: Springer Online Journal Archives 1860-2000

Thema: Informatik , Mathematik

Notizen: Abstract A (v, k, 1) perfect Mendelsohn packing design (briefly (v, k, 1)-PMPD) is a pair (X, A) where X is a v-set (of points) and A is a collection of cyclically ordered k-subsets of X (called blocks) such that every ordered pair of points of X appears t-apart in at most one block of A for all t = 1, 2,..., k-1. If no other such packing has more blocks, the packing is said to be maximum and the number of blocks in a maximum packing is called the packing number, denoted by P(v, k, 1). The values of the function P(v, 5, 1) are determined here for all v ≥5 with a few possible exceptions. This result is established by means of a result on incomplete perfect Mendelsohn designs which is of interest in its own right.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1008200319697

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