Geodesic
On scores in multipartite hypertournaments
Eurasian mathematical journal, Tome 2 (2011) no. 1, pp. 112-119.

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In this paper, we discuss two types of hypertournaments, one $[\alpha_i]_1^k$-multipartite hypertournament ($[\alpha_i]_1^k$-MHT) and the second $(\alpha_i)_1^k$-multipartite hypertournament ($(\alpha_i)_1^k$-MHT). We obtain necessary and sufficient conditions for the $k$ lists of non-negative integers in non-decreasing order to be the losing score lists (score lists) of $[\alpha_i]_1^k$-MHT and that of $(\alpha_i)_1^k$-MHT. We extend this concept to more general class of $[\alpha_i]_1^k$-multipartite multihypertournament ($[\alpha_i]_1^k$-MMHT) and $(\alpha_i)_1^k$-multipartite multihypertournament ($(\alpha_i)_1^k$-MMHT). 
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S. Pirzada. On scores in multipartite hypertournaments. Eurasian mathematical journal, Tome 2 (2011) no. 1, pp. 112-119. http://geodesic.mathdoc.fr/item/EMJ_2011_2_1_a5/

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