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Obligatory subsystems of triple systems

✍ Scribed by A. Hajnal; P. Komjáth

Publisher
Akadmiai Kiad
Year
2007
Tongue
English
Weight
437 KB
Volume
119
Category
Article
ISSN
1588-2632

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📜 SIMILAR VOLUMES

Steiner triple systems with two disjoint
Steiner triple systems with two disjoint subsystems
✍ Darryn Bryant; Daniel Horsley 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB

## Abstract It is shown that there exists a triangle decomposition of the graph obtained from the complete graph of order __v__ by removing the edges of two vertex disjoint complete subgraphs of orders __u__ and __w__ if and only if __u,w__, and __v__ are odd, ${{v}\choose 2}-{u\choose 2}- {w\choos

Steiner triple systems with disjoint or
Steiner triple systems with disjoint or intersecting subsystems
✍ Charles J. Colbourn; Monica A. Oravas; Rolf S. Rees 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 225 KB 👁 1 views

The existence of incomplete Steiner triple systems of order v having holes of orders w and u meeting in z elements is examined, with emphasis on the disjoint (z 0) and intersecting (z 1) cases. When w ! u and v 2w u À 2z, the elementary necessary conditions are shown to be suf®cient for all values o