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Further results on overlarge sets of Kirkman triple systems

✍ Scribed by Lan Dang Yuan; Qing De Kang

Book ID: 106278354
Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2009
Tongue: English
Weight: 300 KB
Volume: 25
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-008-6615-4

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## Abstract A __large set__ of Kirkman triple systems of order __v__, denoted by __LKTS__(__v__), is a collection {(__X__, __B~i~__) : 1 ≤ __i__ ≤ __v__ − 2}, where every (__X__,__B~i~__) is a __KTS__(__v__) and all __B~i~__ form a partition of all triples on __X__. Many researchers have studied th