Minimum embedding of path designs into kite systems
β Scribed by Ragusa, Giorgio; Tripodi, Antoinette
- Book ID
- 122733148
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 176 KB
- Volume
- 40
- Category
- Article
- ISSN
- 1571-0653
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A 5-cycle system on v + w points embeds a balanced P4-design on v points if there is a subset of v points on which the 5-cycles induce the blocks of a balanced P4-design. The mininum possible such w is v(mod 30) w v β‘ 4; 16 v -1 3 v β‘ 7; 10; 22; 25 v + 5 3 v β‘ 1; 13; 28 v + 11 3 v β‘ 19 (mod 30) v +
## Abstract A (__K__~4~βββ__e__)βdesign on __v__β+β__w__ points __embeds__ a __P__~3~βdesign on __v__ points if there is a subset of __v__ points on which the __K__~4~βββ__e__ blocks induce the blocks of a __P__~3~βdesign. It is shown that __w__ββ₯βΒΎ(__v__βββ1). When equality holds, the embedding de