• Korean Journal of Mathematics
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• v.7 no.1
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• pp.53-60
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• 1999

We find bounds of eigenvalues of bipartite tournament matrices. We see when bipartite matrices exist and how players and teams of the matrices are evenly ranked. Also, we show that a bipartite tournament matrix can be both regular and normal when and only when it has the same team size.

• Kyungpook Mathematical Journal
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• v.19 no.1
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• pp.127-134
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• 1979

A (0,1) matrix is acyclic if it does not have a permutation matrix of order 2 as a submatrix. A bipartite tournament is acyclic if and only if its adjacency matrix is acyclic. The concepts of (maximal) order of cyclicity of a matrix and a bipartite tournament are introduced and studied.

• Bulletin of the Korean Mathematical Society
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• v.38 no.1
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• pp.183-190
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• 2001

In this paper, we look at the spectral bounds of a bipartite tournament matrix M with arbitrary team size. Also we find the condition for the variance of the Perron vector of M to vanish.