On the Existence and Non-Existence of Quintic Designs
β Scribed by Audrey I. Duthie
- Book ID
- 115056451
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- French
- Weight
- 303 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0319-5724
- DOI
- 10.2307/3314697
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A collection of subsets (called blocks) of a fixed vertex set (possibly with repetition) is called a (t,, tn-1 ..... tl ; am, am-1 ..... al)-design if it satisfies certain regularity conditions on the number of blocks which contain subsets of the vertex set of certain size, and other regularity cond
## 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
## 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