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Anti-mitre steiner triple systems
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

January 1, 1994

DOI

10.1007/bf02986668

ISSN

0911-0119

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