✦ LIBER ✦

Coloring BIBDs with block size 4

✍ Scribed by Václav Linek; Evan B. Wantland

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 394 KB
Volume: 6
Category: Article
ISSN: 1063-8539
DOI: 10.1002/(sici)1520-6610(1998)6:6<403::aid-jcd2>3.0.co;2-j

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

BIBD's with block-size seven

✍ H. Hanani 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 481 KB

Some new BIBDs with block size 7

✍ R. Julian R. Abel 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 83 KB

For k ! 3 the existence problem forvY 7Y k BIBDs has been completely solved, except when v 253. In this paper, 3 new direct vY 7Y k BIBD constructions are given for vY k 259Y 1Y 106Y 2Y and 253Y 2. Some features of the known 175Y 7Y 1 BIBD are also discussed. Finally, a few vY 7Y 1 BIBDs are obtaine

Some cyclic BIBDs with block size four

✍ Yanxun Chang 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 92 KB

## Abstract In this paper we give some results on cyclic BIBDs with block size 4. It is proved that a cyclic __B__(4,1;4__^n^ u__) exists where __u__ is a product of primes congruent to 1 modulo 6 and __n__ is a positive integer and __n__ ≥ 3. In the case of __n__ = 2, we also give some partial res

Four new BIBDs with block size seven

✍ J. Yin; S. Wu 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 311 KB

Resolvable BIBDs with block size 8 and i

Resolvable BIBDs with block size 8 and index 7

✍ Steven Furino; Malcolm Greig; Ying Miao; Jianxing Yin 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 728 KB

## Abstract The necessary conditions for the existence of a resolvable BIBD RB(__k__,λ; __v__) are λ(__v__ − 1) = 0(mod __k__ − 1) and __v__ = 0(mod __k__). In this article, it is proved that these conditions are also sufficient for __k__ = 8 and λ = 7, with at most 36 possible exceptions. © 1994 J

Block designs with large holes and α -re

Block designs with large holes and α -resolvable BIBDs

✍ Steven C. Furino; Ronald C. Mullin 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 610 KB

## Abstract In a (__v, k__, λ: __w__) incomplete block design (IBD) (or PBD [__v, {k, w__^\*^}. λ]), the relation __v__ ≥ (__k__ − 1)__w__ + 1 must hold. In the case of equality, the IBD is referred to as a block design with a large hole, and the existence of such a configuration is equivalent to t