## Abstract A (__K__~4~ − __e__)‐design on __v__ + __w__ points __embeds__ a __P__~3~‐design on __v__ points if there is a subset of __v__ points on which the __K__~4~ − __e__ blocks induce the blocks of a __P__~3~‐design. It is shown that __w__ ≥ ¾(__v__ − 1). When equality holds, the embedding de
On the existence of resolvable K4 − e designs
✍ Scribed by Gennian Ge; Alan C. H. Ling
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 115 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this article, we settle a problem which originated in 4 regarding the existence of resolvable (K~4~ − e)‐design. We solve the problem with two possible exceptions. © 2007 Wiley Periodicals, Inc. J Combin Designs 15: 502–510, 2007
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