๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On intersections of pairs of steiner triple systems

โœ Scribed by J.I Hall; J.T Udding


Publisher
Elsevier Science
Year
1977
Weight
743 KB
Volume
80
Category
Article
ISSN
1385-7258

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Quasi-embeddings of Steiner triple syste
โœ Peter Dukes; Eric Mendelsohn ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 182 KB

## Abstract In this paper, we present a conjecture that is a common generalization of the Doyenโ€“Wilson Theorem and Lindner and Rosa's intersection theorem for Steiner triple systems. Given __u__, __v__ โ‰ก 1,3 (mod 6), __u__ < __v__ < 2__u__โ€‰+โ€‰ 1, we ask for the minimum __r__ such that there exists a

Steiner triple systems with disjoint or
โœ Charles J. Colbourn; Monica A. Oravas; Rolf S. Rees ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 225 KB ๐Ÿ‘ 1 views

The existence of incomplete Steiner triple systems of order v having holes of orders w and u meeting in z elements is examined, with emphasis on the disjoint (z 0) and intersecting (z 1) cases. When w ! u and v 2w u ร€ 2z, the elementary necessary conditions are shown to be sufยฎcient for all values o

On reverse Steiner triple systems
โœ Alexander Rosa ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 950 KB

1 he existence of reverse Steiner triple systems It.e. Steiner triple systems with a given involutory automorphism of speck4 type) is investigated. it is srfrwrn that such a system exists far alI wders n if n z t of 3 or 9 (mod 24: except posd&ly far n = 25. A system with this grspetty exists also f

On the number of steiner triple systems
โœ V. E. Alekseev ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› SP MAIK Nauka/Interperiodica ๐ŸŒ English โš– 225 KB
Embeddings of Steiner triple systems
โœ Jean Doyen; Richard M. Wilson ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 867 KB

If X is a set whose elements are called points and A is a collectioxr of subsets of X (called lines) such that: (i) any two distinct points of X are contained in exactly one line, (ii) every line contains at least two points, we say that the pair (X, A) is a linear space. A Steiner triple system i