## Abstract In this article, the existence of additive BIB designs is discussed with direct and recursive constructions, together with investigation of a property of resolvability. Such designs can be used to construct infinite families of BIB designs. In particular, we obtain a series of B(__s^n^_
The existence spectrum of golf designs
β Scribed by Yanxun Chang
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 92 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
In this note, a golf design of order 41 is constructed. Combined Colbourn and Nonay's result, the existence spectrum of golf design of order Ο is the set {Ο : Ο β‘1 (mod 2), Ο ββ₯β3, Ο ββ β5}. Β© 2005 Wiley Periodicals, Inc. J Combin Designs 15: 84β89, 2007
π SIMILAR VOLUMES
## Abstract A __G__βdesign of order __n__ is a decomposition of the complete graph on __n__ vertices into edgeβdisjoint subgraphs isomorphic to __G__. We survey the current state of knowledge on the existence problem for __G__βdesigns. This includes references to all the necessary designs and const
## Abstract In this article, we settle a problem which originated in 4 regarding the existence of resolvable (__K__~4~βββ__e__)βdesign. We solve the problem with two possible exceptions. Β© 2007 Wiley Periodicals, Inc. J Combin Designs 15: 502β510, 2007
symmetric designs with parameters (105, 40, 15) was shown.
## Abstract A set of trivial necessary conditions for the existence of a large set of __t__βdesigns, __LS__[N](__t,k,__Ξ½), is $N\big | {{\nu \hskip -3.1 \nu}-i \choose k-i}$ for __i__β=β0,β¦,__t__. There are two conjectures due to Hartman and Khosrovshahi which state that the trivial necessary condi