On c -Bhaskar Rao Designs and tight embeddings for path designs

• Published in: Discrete mathematics Vol. 308; no. 13; pp. 2659 - 2662
• Main Authors: Hurd, Spencer P., Sarvate, Dinesh G.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 06.07.2008
• Subjects: [formula omitted]-Bhaskar Rao Design; [formula omitted]-BRD; BIBD; Handcuffed designs; Nested designs; Path design; Triple system; Nested designs; Path design; Triple system; BIBD; c -Bhaskar Rao Design; Handcuffed designs; c -BRD

Under the right conditions it is possible for the ordered blocks of a path design PATH ( v , k , μ ) to be considered as unordered blocks and thereby create a BIBD ( v , k , λ ) . We call this a tight embedding. We show here that, for any triple system TS ( v , 3 ) , there is always such an embeddin...