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Steiner pentagon systems

✍ Scribed by C.C. Lindner; D.R. Stinson


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
720 KB
Volume
52
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Holey Steiner pentagon systems
✍ R. J. R. Abel; F. E. Bennett; H. Zhang πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 214 KB

In this article, it is shown that the necessary conditions for the existence of a holey Steiner pentagon system (HSPS) of type h n are also sufficient, except possibly for the following cases: (1) when n = 15, and h ≑ 1 or 5 (mod 6) where h ≑ 0 (mod 5), or h = 9; and (2) (h, n) ∈ {(6, 6), (6, 36), (

Super-simple holey Steiner pentagon syst
✍ R. Julian R. Abel; Frank E. Bennett; Gennian Ge πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 256 KB

## Abstract A Steiner pentagon system of order __v__ (SPS(__v__)) is said to be super‐simple if its underlying (__v__, 5, 2)‐BIBD is super‐simple; that is, any two blocks of the BIBD intersect in at most two points. It is well known that the existence of a holey Steiner pentagon system (HSPS) of ty

Balanced Steiner Triple Systems
✍ Charles Colbourn; Lucien Haddad; VΓ‘clav Linek πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 302 KB

and v 15, a 3-chromatic Steiner triple system of order v all of whose 3-colorings are equitable. 1997 Academic Press ## 1. Introduction A Steiner triple system of order v (briefly STS(v)) is a pair (X, B), where X is a v-element set and B is a collection of 3-subsets of X (triples), such that eve

Halving Steiner triple systems
✍ Pramod K. Das; Alexander Rosa πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 805 KB
On infinite Steiner systems
✍ M.J. Grannell; T.S. Griggs; J.S. Phelan πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 256 KB
Bicyclic Steiner triple systems
✍ Rebecca Calahan-Zijlstra; Robert B. Gardner πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 467 KB