Pairwise Balanced Design of Order 6n+4 and 2-Fold System of Order 3n+2
Joint Authors
Ghosh, Debabrata Kumar
Basu, Manjusri
Bagchi, Satya
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-27
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In the Steiner triple system, Bose (1939) constructed the 2−(v,3,1) design for v=6n+3 and later on Skolem (1958) constructed the same for v=6n+1.
In the literature we found a pairwise balanced design (PBD) for v=6n+5.
We also found the 2-fold triple system of the orders 3n and 3n+1.
In this paper, we construct a PBD for v=6n+4 and a 2-fold system of the order 3n+2.
The second construction completes the 2-fold system for all n∈N.
American Psychological Association (APA)
Basu, Manjusri& Ghosh, Debabrata Kumar& Bagchi, Satya. 2012. Pairwise Balanced Design of Order 6n+4 and 2-Fold System of Order 3n+2. ISRN Discrete Mathematics،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-457484
Modern Language Association (MLA)
Basu, Manjusri…[et al.]. Pairwise Balanced Design of Order 6n+4 and 2-Fold System of Order 3n+2. ISRN Discrete Mathematics No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-457484
American Medical Association (AMA)
Basu, Manjusri& Ghosh, Debabrata Kumar& Bagchi, Satya. Pairwise Balanced Design of Order 6n+4 and 2-Fold System of Order 3n+2. ISRN Discrete Mathematics. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-457484
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457484
