The number of faces of the tridiagonal Birkhoff polytope |
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| Authors: | L. Costa C. M. da Fonseca E. A. Martins |
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| Affiliation: | 1.Department of Mathematics,University of Aveiro,Aveiro,Portugal;2.CMUC, Department of Mathematics,University of Coimbra,Coimbra,Portugal |
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| Abstract: | Counting basic objects as the vertices of polyhedra is a demanding problem in general, even for the most basic structured polytope. In this paper, we determine the number of q-faces for some q ≥ 1 of the polytope of tridiagonal doubly stochastic matrices. |
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