Some results on defining sets of t-designs

Gray, Brenton D. and Ramsay, Colin (1999) Some results on defining sets of t-designs. Bulletin of the Australian Mathematical Society, 59 2: 203-215. doi:10.1017/S0004972700032822


Author Gray, Brenton D.
Ramsay, Colin
Title Some results on defining sets of t-designs
Formatted title
Some results on defining sets of t-designs
Journal name Bulletin of the Australian Mathematical Society   Check publisher's open access policy
ISSN 0004-9727
1755-1633
Publication date 1999-04
Sub-type Article (original research)
DOI 10.1017/S0004972700032822
Volume 59
Issue 2
Start page 203
End page 215
Total pages 13
Place of publication Cambridge, U.K.
Publisher Cambridge University Press
Collection year 1999
Language eng
Subject C1
780101 Mathematical sciences
230101 Mathematical Logic, Set Theory, Lattices And Combinatorics
Formatted abstract
We investigate how varying the parameters of t-(ν, κ, λ) designs affects the sizes of smallest defining sets. In particular, we consider the effect of varying each of the parameters t, ν and λ. We establish a number of new bounds for the sizes of smallest defining sets and find the size of smallest defining sets for an infinite family of designs. We also show how one of our results can be applied to the problem of finding critical sets of Latin squares.
Copyright Clearance Centre, Inc
Keyword Mathematics
Trades
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
School of Information Technology and Electrical Engineering Publications
 
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Created: Tue, 10 Jun 2008, 14:42:12 EST