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Completely separating systems of k-sets for (k−1/2) <= n < (k/2) or 11 <= k <= 12

Roberts, Ian T., D'Arcy, Suzanne and Gronau, Hans-Dietrich (2013). Completely separating systems of k-sets for (k&minus;1/2) <= n < (k/2) or 11 <= k <= 12. Australasian Journal of Combinatorics,55:73-94.

Document type: Journal Article
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IRMA ID 82794376xPUB253
Title Completely separating systems of k-sets for (k−1/2)
Author Roberts, Ian T.
D'Arcy, Suzanne
Gronau, Hans-Dietrich
Journal Name Australasian Journal of Combinatorics
Publication Date 2013
Volume Number 55
ISSN 1034-4942   (check CDU catalogue open catalogue search in new window)
Scopus ID 2-s2.0-84875174047
Start Page 73
End Page 94
Total Pages 22
Place of Publication Australia
Publisher Centre for Discrete Mathematics & Computing
HERDC Category C1 - Journal Article (DIISR)
Abstract Here R(n, k) denotes the minimum possible size of a completely separating system C on [n] with |A| = k for each A ∈ C. Values of R(n, k) are determined for k−1 2 ≤ n < k 2 or 11 ≤ n ≤ 12. Using the dual interpretation of completely separating systems as antichains, this paper provides corresponding results for dual k-regular antichains.
Open access True
Description for Link Link to published version
URL http://ajc.maths.uq.edu.au/pdf/55/ajc_v55_p073.pdf


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