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Embeddings of almost resolvable triple systems

✍ Scribed by Zhiqiang Liu; Hao Shen


Book ID
108315786
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
174 KB
Volume
261
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Embeddings of Resolvable Triple Systems
✍ Hao Shen; Yizhu Wang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 165 KB

Let RB(3, \*; v) denote a resolvable \*-fold triple system of order v. It is proved in this paper that the necessary and sufficient conditions for the embedding of an RB(3, \*; v) in an RB(3, \*; u) are u 3v and (i) u#v#3 (mod 6) if \*#1 (mod 2), (ii) u#v#3 (mod 3) if \*#0 (mod 4), or (iii) u#v#0 (m

Embeddings of resolvable mendelsohn trip
✍ F. E. Bennett; R. Wei πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 792 KB

In this article it is shown that any resolvable Mendelsohn triple system of order u can be embedded in a resolvable Mendelsohn triple system of order v iff v 2 3u, except possibly for 71 values of (u,v). 0 1993 John Wiley & Sons, Inc. ## Theorem 1.1. A RMTS(v) exists if and only if If ( X , % ) a

On large sets of resolvable and almost r
✍ Qingde Kang; Jianguo Lei πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 430 KB πŸ‘ 1 views

An MTS(v) [or DTS(v)] is said to be resolvable, denoted by RMTS(v) [or RDTS(v)], if its block set can be partitioned into parallel classes. An MTS(v) [or DTS(v)] is said to be almost resolvable, denoted by ARMTS(v) [or ARDTS(v)], if its bloak set can be partitioned into almost parallel classes. The

Almost resolvable cycle systemsβ€”an analo
✍ C. C. Lindner; M. Meszka; A. Rosa πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 123 KB

## Abstract The purpose of this paper is the initiation of an attack on the __general existence problem__ for almost resolvable 2__k__‐cycle systems. We give a complete solution for 2__k__=6 as well as a complete solution modulo one possible exception for 2__k__=10 and 14. We also show that the exi

Embeddings of Steiner triple systems
✍ Jean Doyen; Richard M. Wilson πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 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

Existence of non-resolvable Steiner trip
✍ (Ben) Pak Ching Li; G. H. J. van Rees πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 112 KB πŸ‘ 1 views

## Abstract We consider two well‐known constructions for Steiner triple systems. The first construction is recursive and uses an STS(__v__) to produce a non‐resolvable STS(2__v__ + 1), for __v__ ≑ 1 (mod 6). The other construction is the Wilson construction that we specify to give a non‐resolvable