Doubly Linked Block Association Schemes

K.K. Singh Meitei

Abstract

The inception of the Singly Linked Block (SLB) association scheme was known to due to Shrikhande [1], defining the association relationship of two blocks based on their intersection number of treatment which must be either 0 or 1. In the present work, starting from a given block design in which any two blocks intersect at either 1 or 2 treatment(s), a new 2-class association scheme to be named “Doubly Linked Block Association Scheme” is introduced and also some combinatorial approaches to its existence are laid down.

Keywords

Singly Linked Block (SLB) association scheme, Î» * -linked blocks, affine Î±-resolvable BIB design.

References

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Cites this article as

K. S. M. "Doubly Linked Block Association Schemes", International Journal of Innovative Research in Engineering and Management (IJIREM), Vol-2, Issue-6, Page No-101-104, 2015. Available from: