Some rationally looking faces of Ωn having irrational minimum permanents |
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| Authors: | Seok-Su Do Suk-Geun Hwang |
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| Institution: |
a Department of Mathematics, Inje University, Kimhae, Rep. of Korea
b Department of Mathematics, Sung Kyun Kwan University, Suwon, Rep. of Korea |
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| Abstract: | Let ?n denote the convex polytope consisting of all n × n doubly stochasiic matrices. We determine the minimum permanents which may or may not be rational and the permanent-minimizing matrices over some rationally looking faces of ?n We also discuss the barycentricity of the (0, l)-matrices with which we consider the permanent-minimization problem. |
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