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Abstract.
In this paper, we give a new proof for the set of
non-negative integers $\Big\{ s_1 ,\sum\limits_{i = 1}^2 s_i
,\ldots ,\sum\limits_{i = 1}^p {s_i }\Big\}$ with $s_1 < s_2 <
\cdots < s_{p}$ to be the score set of some tournament. The proof is
constructive, using tournament construction.
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