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Doyen–Wilson theorem for nested Steiner triple systems

✍ Scribed by Jinhua Wang; Hao Shen

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
144 KB
Volume
12
Category
Article
ISSN
1063-8539

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✦ Synopsis

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.

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