✦ LIBER ✦
Existence of certain skew room frames with application to weakly 3-chromatic linear spaces
✍ Scribed by C. A. Rodger; E. B. Wantland; K. Chen; L. Zhu
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 640 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1063-8539
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✦ Synopsis
Abstract
It is shown that for any even integer n ≥ 16 and for some b ≥ 1, there exists a skew Room frame of type 2^a^ 4^b^ with n = 2__a__ + 4__b__. As an application, we show that for any integer v ≡ 1,4 (mod 12), there exists a weakly 3‐chromatic linear space with all lines having size 4 iff v > 16. This answers an open problem posed by Colbourn and Rosa. © 1994 John Wiley & Sons, Inc.