Journal article
Anti-mitre steiner triple systems
Abstract
A mitre in a Steiner triple system is a set of five triples on seven points, in which two are disjoint. Recursive constructions for Steiner triple systems containing no mitre are developed, leading to such anti-mitre systems for at least 9/16 of the admissible orders. Computational results for small cyclic Steiner triple systems are also included.
Authors
Colbourn CJ; Mendelsohn E; Rosa A; Širáň J
Journal
Graphs and Combinatorics, Vol. 10, No. 2-4, pp. 215–224
Publisher
Springer Nature
Publication Date
June 1994
DOI
10.1007/bf02986668
ISSN
0911-0119