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- W4313209321 abstract "This paper revisits a combinatorial structure called the large set of ordered design (LOD). Among others, we introduce a novel structure called Latin matching and prove that a Latin matching of order n leads to an LOD(n−1, n, 2n−1); thus, we obtain constructions for LOD(1, 2, 3), LOD(2, 3, 5), and LOD(4, 5, 9). Moreover, we show that constructing a Latin matching of order n is at least as hard as constructing a Steiner system S(n−2, n−1, 2n−2); therefore, the order of a Latin matching must be prime. We also show some applications in multiagent systems." @default.
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- W4313209321 date "2022-12-11" @default.
- W4313209321 modified "2023-09-26" @default.
- W4313209321 title "Latin Matchings and Ordered Designs OD(n−1, n, 2n−1)" @default.
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- W4313209321 doi "https://doi.org/10.3390/math10244703" @default.
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