Small embeddings of partial directed triple systems and partial triple systems with even λ

• Published in: Journal of combinatorial theory. Series A Vol. 37; no. 3; pp. 363 - 369
• Main Authors: Colbourn, Charles J, Hamm, Rose C, Rodger, C.A
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 01.01.1984; Academic Press
• Subjects: Combinatorics; Combinatorics. Ordered structures; Designs and configurations; Exact sciences and technology; Mathematics; Sciences and techniques of general use; Combinatorics

In 1976, Lindner and Rosa ( Ars Combin. 1 (1976) , 159–166) showed that a partial triple system with λ > 1 can be embedded in a finite triple system with the same λ. This result is improved in the case when λ is even by embedding a partial triple system on υ symbols in a triple system on t symbol...