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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.8 No.2

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SCORE SEQUENCES OF HYPERTOURNAMENT MATRICES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2001, v.8 no.2, pp.185-191
Koh, Young-Mee (Department of Mathematics, University of Suwon)
Ree, Sang-Wook (Department of Mathematics, University of Suwon)
Koh, Young-Mee, & Ree, Sang-Wook. (2001). SCORE SEQUENCES OF HYPERTOURNAMENT MATRICES, 8(2), 185-191.

Abstract

A k-hypertournament is a complete k-hypergraph with all k-edges endowed with orientations, i.e., orderings of the vertices in the edges. The incidence matrix associated with a k-hypertournament is called a 7-hypertournament matrix, where each row stands for a vertex of the hypertournament. Some properties of the hypertournament matrices are investigated. The sequences of the numbers of 1＇s and -1＇s of rows of a k-hypertournament matrix are respectively called the score sequence (resp. losing score sequence) of the matrix and so of the corresponding hypertournament. A necessary and sufficient condition for a sequence to be the score sequence (resp. the losing score sequence) of a k-hypertournament is proved.

keywords
hypertournament, score sequence, hypertournament matrices

한국수학교육학회지시리즈B:순수및응용수학

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