On the minimum number of blocks defining a design

Gray K. (1990) On the minimum number of blocks defining a design. Bulletin of the Australian Mathematical Society, 41 1: 97-112. doi:10.1017/S0004972700017883


Author Gray K.
Title On the minimum number of blocks defining a design
Journal name Bulletin of the Australian Mathematical Society   Check publisher's open access policy
ISSN 1755-1633
Publication date 1990
Sub-type Article (original research)
DOI 10.1017/S0004972700017883
Volume 41
Issue 1
Start page 97
End page 112
Total pages 16
Subject 2600 Mathematics
Abstract A set of blocks which is a subset of a unique t – (v, k, λt) design is said to be a defining set of that design. We examine the properties of such a set, and show that its automorphism group is related to that of the whole design. Smallest defining sets are found for 2-designs and 3-designs on seven or eight varieties with block size three or four, revealing interesting combinatorial structures.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
 
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Created: Tue, 12 Jul 2016, 01:52:42 EST by System User