Charles Darwin University

CDU eSpace
Institutional Repository

 
CDU Staff and Student only
 

The minimum number of blocks in pairwise balanced designs with maximum block size 4: the final cases

Gruettmueller, Martin, Roberts, Ian T., D'Arcy, Sue and Egan, Judith (2006). The minimum number of blocks in pairwise balanced designs with maximum block size 4: the final cases. Australasian Journal of Combinatorics,36:303-313.

Document type: Journal Article
Citation counts: Scopus Citation Count Cited 2 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Attached Files (Some files may be inaccessible until you login with your CDU eSpace credentials)
Name Description MIMEType Size Downloads
Download this reading Roberts_2152.pdf Published version application/pdf 247.04KB 19
Reading the attached file works best in Firefox, Chrome and IE 9 or later.

IRMA ID 25641461xPUB15
Title The minimum number of blocks in pairwise balanced designs with maximum block size 4: the final cases
Author Gruettmueller, Martin
Roberts, Ian T.
D'Arcy, Sue
Egan, Judith
Journal Name Australasian Journal of Combinatorics
Publication Date 2006
Volume Number 36
ISSN 1034-4942   (check CDU catalogue  open catalogue search in new window)
Scopus ID 2-s2.0-38149093503
Start Page 303
End Page 313
Total Pages 11
Place of Publication Australia
Publisher Centre for Discrete Mathematics & Computing
Field of Research 0101 - Pure Mathematics
0802 - Computation Theory and Mathematics
HERDC Category C1 - Journal Article (DEST)
Abstract The minimum number of blocks having maximum size precisely four that are required to cover, exactly times, all pairs of elements from a set of cardinality v is denoted by g(4) (v) (or g(4)(v) when = 1). All values of g(4) (v) are known except for = 1 and v = 17 or 18. It is known that 30 g(4)(17) 31 and 32 g(4)(18) 33. In this paper we show that g(4)(17) 6= 30 and g(4)(18) 6= 32, thus finalising the determination of g(4) (v) for all and v.
Description for Link Link to published version
URL http://ajc.maths.uq.edu.au/pdf/36/ajc_v36_p303.pdf


© copyright

Every reasonable effort has been made to ensure that permission has been obtained for items included in CDU eSpace. If you believe that your rights have been infringed by this repository, please contact digitisation@cdu.edu.au.

 
Versions
Version Filter Type
Access Statistics: 52 Abstract Views, 20 File Downloads  -  Detailed Statistics
Created: Fri, 12 Sep 2008, 08:35:25 CST by Administrator