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- W2966027527 abstract "A tournament is an oriented complete graph. The problem of ranking tournaments was firstly investigated by P. Erdős and J. W. Moon. By probabilistic methods, the existence of ˆˆ ˆˆ unrankable” tournaments was proved. On the other hand, they also mentioned the problem of explicit constructions. However, there seems to be only a few of explicit constructions of such tournaments. In this note, we give a construction of many such tournaments by using skew Hadamard difference sets which have been investigated in combinatorial design theory." @default.
- W2966027527 created "2019-08-13" @default.
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- W2966027527 date "2019-12-01" @default.
- W2966027527 modified "2023-09-23" @default.
- W2966027527 title "A constructive solution to a problem of ranking tournaments" @default.
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- W2966027527 doi "https://doi.org/10.1016/j.disc.2019.111613" @default.
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