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Constructions for resolvable and related designs

✍ Scribed by V. C. Mavron


Publisher
Springer
Year
1981
Tongue
English
Weight
912 KB
Volume
23
Category
Article
ISSN
0001-9054

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πŸ“œ SIMILAR VOLUMES


Constructions for near resolvable design
✍ Tran van Trung πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 355 KB

The purpose of this article is twofold. First, it is shown that classical inversive planes of even order can be used to construct a class of 2 -(2 2n +1, 2 n , 2 n -1) near resolvable designs, in which any two blocks have at most 2 points in common. Secondly, it is shown that a recursive constructio

Constructions for rotational near resolv
✍ R. Julian R. Abel; Marco Buratti; Malcolm Greig; Ying Miao πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 201 KB

## Abstract A (Ξ½, __k__, __k__βˆ’1) near resolvable block design (NRBD) is __r__‐rotational over a group __G__ if it admits __G__ as an automorphism group of order (Ξ½βˆ’1)/__r__ fixing exactly one point and acting semiregularly on the others. We give direct and recursive constructions for rotational NR

Two new direct product-type construction
✍ Rolf S. Rees πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 658 KB

## Abstract We present two direct product‐type constructions which will prove useful in the construction of resolvable designs. We use our constructions to complete the spectrum for resolvable group‐divisible designs with block size three, as well as to give a short proof of the existence of decomp