On the spectrum of [v,k, t] trades |
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| Institution: | 1. Centre for Combinatorics, Department of Mathematics, The University of Queensland, Qld 4072, Australia;2. School of Information Technology and Department of Mathematics, The University of Queensland, Brisbane Qld 4072, Australia;1. Zhejiang Lab, Hangzhou 311100, China;2. School of Mathematics Sciences, Capital Normal University, Beijing 100048, China |
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| Abstract: | A v, k, t] trade of volume m consists of two disjoint collections T1 and T2, each of m k-subsets of a v-set V, such that each t-subset of V is contained in the same number of blocks of T1 and T2, and each element of V is contained in at least one block of T1. We study v, k, t] trades, and investigate their spectrum (i.e., the collections of allowable volumes), using both theoretical techniques and computer-based searches. |
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