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The existence of doubly near resolvable (v,3,2)-BIBDs

✍ Scribed by E. R. Lamken

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
680 KB
Volume
2
Category
Article
ISSN
1063-8539

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✦ Synopsis

The existence of doubly near resolvable (v, 2,1)-BZBDs was established by Mullin and Wallis in 1975. In this article, we determine the spectrum of a second class of doubly near resolvable balanced incomplete block designs. We prove the existence of DNR(v,3,2)-BZBDs for v = 1 (mod 3), v 2 10 and v @ {34,70,85,88,115,124,133,142}. The main construction is a frame construction, and similar constructions can be used to prove the existence of doubly resolvable (v, 3,2)-BIBDs and a class of Kirkman squares with block size 3, KS3(v, 2,4).

πŸ“œ SIMILAR VOLUMES

Existence results for doubly near resolv
Existence results for doubly near resolvable (Ο…, 3, 2)-BIBDs
✍ E.R. Lamken; S.A. Vanstone πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 788 KB

Let V be a set of u elements. A (1,2; 3,v, I)-frame F is a square array of side v which satisfies the following properties. We index the rows and columns of F with the elements of V, V= {x Ir x2,, ,x,}. (1) Each cell is either empty or contains a 3-subset of V. (2) Cell (xi. xi) is empty for i= 1,2