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More Large Sets of KTS(v)

Gennian Ge1
1Department of Mathematics Zhejiang University Hangzhou 310027, Zhejiang P, R. China

Abstract

A large set of KTS(v), denoted by LKTS(v), is a collection of (v2) pairwise disjoint KTS(v) on the same set. In this paper, it is proved that there exists an LKTS(3n91) for any integer n1.

Keywords: Steiner triple system, Kirkman triple system, Large set of Kirkman triple system, Transitive Kirkman triple system.