Concerning the spectrum of perpendicular arrays of triple systems
β Scribed by D.R Stinson
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 324 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
The spectrum of possible numbers of distinct blocks in a threefold triple system of order u is determined. Let m, = [u(u -1)/6]. A threefold triple system with u = 1, 3 (mod 6) elements can have any number of distinct blocks from, and only from, {m,, m, + 4, m, +6, m, + 7;.., 3m,} provided u # 3, 7
The spectrum for LMTS(v, 1) has been obtained by Kang and Lei (Bulletin of the ICA, 1993). In this article, firstly, we give the spectrum for LMTS(v,3). Furthermore, by the existence of LMTS(v, 1) and LMTS(v, 3), the spectrum for LMTS(v, A) is completed, that is Y = 2 (mod A), v 2 A + 2, if A # 0 (m
## Abstract We give a plausibleβsounding conjecture involving the number of __n__βequivalence classes of structures of size __m__ which would imply that the complement of a spectrum is also a spectrum. Mathematics Subject Classification: 03B10, 03D15, 68Q15.