A construction for large sets of disjoint Kirkman triple systems |
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| Authors: | Lijun Ji |
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| Institution: | (1) Department of Mathematics, Suzhou University, Suzhou, 215006, China |
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| Abstract: | A Steiner system S(t, k, v) is called i-resolvable, 0 < i < t, if its block set can be partitioned into S(i, k, v). In this paper, a 2-resolvable S(3, 4, v) is used to construct a large set of disjoint Kirkman triple systems of order 3v − 3 (briefly LKTS) and some new orders for LKTS are then obtained.
Research supported by Tianyuan Mathematics Foundation of NSFC Grant 10526032 and Natural Science Foundation of Universities
of Jiangsu Province Grant 05KJB110111. |
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| Keywords: | Steiner system Large set Kirkman triple system Group divisible t-design Frame |
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