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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

More Large Sets of \(KTS(v)\)

Gennian Ge1
1Department of Mathematics Zhejiang University Hangzhou 310027, Zhejiang P, R. China
  • Published: 31/05/2004

Abstract

A large set of KTS(\(v\)), denoted by LKTS(\(v\)), is a collection of (\(v-2\)) pairwise disjoint KTS(\(v\)) on the same set. In this paper, it is proved that there exists an LKTS(\(3^n \cdot 91\)) for any integer \(n \geq 1\).

Keywords: Steiner triple system, Kirkman triple system, Large set of Kirkman triple system, Transitive Kirkman triple system.
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Citation
Gennian Ge. More Large Sets of \(KTS(v)\)[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 049. 211-214. DOI: .