Extremal plane stochastic matrices of dimension three |
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Authors: | R.A. Brualdi J. Csima |
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Affiliation: | Department of Mathematics University of Wisconsin Madison, Wisconsin 53706, USA;Department of Mathematics McMaster University Hamilton, Ontario, Canada L8S 4K1 |
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Abstract: | We examine combinatorial properties of extremal plane stochastic matrices of dimension three. Methods are given for the construction of such extremal matrices of any order. We obtain a lower bound for the number of connected extremal matrices of order n and conclude with some open problems. |
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