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Cyclic Steiner Triple Systems with Cyclic Subsystems

โœ Scribed by Phelps, Kevin; Rosa, Alexander; Mendelsohn, Eric


Book ID
123410337
Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
380 KB
Volume
10
Category
Article
ISSN
0195-6698

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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 ร€ 2z, the elementary necessary conditions are shown to be sufยฎcient for all values o