Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 38 Issue 1
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- Pages.183-190
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- 2001
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
SPECTRAL PROPERTIES OF BIPARTITE TOURNAMENT MATRICES
- Koh, Young-Mee (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF SUWON) ;
- Ree, Sang-Wook (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF SUWON)
- Published : 2001.02.01
Abstract
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.
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References
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- Linear and Multilinear Algebra v.35 On multipartite tournament matrices with constant team size S.J.Kirkland;B.L.Shader
- Kangweon-Kyungki Mathematical Journal v.7 On bipartite tournament matrices Y.Koh;S.Ree
- Linear Algebra and Appl. v.162-164 On tournament matrices B.L.Shader
- Ph. D. thesis The algebraic foundations of ranking theory T.H.Wei