𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Constructions for anti-mitre Steiner triple systems

✍ Scribed by Yuichiro Fujiwara


Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
83 KB
Volume
13
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

In this paper, we present a recursive construction for anti‐mitre Steiner triple systems. Furthermore, we present another construction of anti‐mitre STSs by utilizing 5‐sparse ones. © 2004 Wiley Periodicals, Inc.


📜 SIMILAR VOLUMES


The resolution of the anti-mitre Steiner
✍ Adam Wolfe 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 106 KB 👁 1 views

## Abstract This paper gives a proof of the existence of anti‐mitre Steiner triple systems of order __n__ for every __n__ ≡ 1,3 mod 6 except for __n__ = 9. © 2005 Wiley Periodicals, Inc. J Combin Designs 14: 229–236, 2006

Infinite classes of anti-mitre and 5-spa
✍ Yuichiro Fujiwara 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB 👁 1 views

## Abstract In this paper, we present three constructions for anti‐mitre Steiner triple systems and a construction for 5‐sparse ones. The first construction for anti‐mitre STSs settles two of the four unsettled admissible residue classes modulo 18 and the second construction covers such a class mod

Constructions for rotational Steiner qua
✍ Tao Feng; Yanxun Chang; Lijun Ji 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 167 KB 👁 1 views

## Abstract A direct construction for rotational Steiner quadruple systems of order __p__+ 1 having a nontrivial multiplier automorphism is presented, where __p__≡13 (mod24) is a prime. We also give two improved product constructions. By these constructions, the known existence results of rotationa

Doyen–Wilson theorem for nested Steiner
✍ Jinhua Wang; Hao Shen 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB 👁 1 views

## Abstract The obvious necessary conditions for the existence of a nested Steiner triple system of order __v__ containing a nested subsystem of order __w__ are __v__ ≥ 3__w__ + 4 and __v__ ≡ w ≡ 1 (mod 6). We show that these conditions are also sufficient. © 2004 Wiley Periodicals, Inc.

Explicit constructions of triple systems
✍ Dhruv Mubayi; Vera T. Sós 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 68 KB

## Abstract We explicitly construct four infinite families of irreducible triple systems with Ramsey‐Turán density less than the Turán density. Two of our families generalize isolated examples of Sidorenko 14, and the first author and Rödl 12. Our constructions also yield two infinite families of i

Another complete invariant for Steiner t
✍ Olivier Anglada; Jean-François Maurras 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 64 KB

## Abstract In this note, the 80 non‐isomorphic triple systems on 15 points are revisited from the viewpoint of the convex hull of the characteristic vectors of their blocks. The main observation is that the numbers, of facets of these 80 polyhedra are all different, thus producing a new proof of t