Abstract.
A (v,k,t) trade T=T 1−T 2 of volume m consists of two disjoint collections T 1 and T 2 each containing m blocks (k-subsets) such that each t-subset is contained in the same number of blocks in T 1 and T 2. If each t-subset occurs at most once in T 1, then T is called a Steiner (k,t) trade. In this paper, we continue our investigation of the spectrum S(k,2); that is, the set of allowable volumes of Steiner (k,t) trades when t=2. By using the concept of linked trades, we show that 2k+1∈S(k,2) precisely when k∈{3, 4, 7}.
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Received: February 28, 1997
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Gray, B., Ramsay, C. On the Spectrum of Steiner (v,k,t) Trades (II). Graphs Comb 15, 405–415 (1999). https://doi.org/10.1007/s003730050074
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DOI: https://doi.org/10.1007/s003730050074