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Title: Faces of faces of the tridiagonal Birkhoff polytope
Author: Costa, L.
Martins, E.A.
Keywords: Algorithms
Number of edges
Number of faces
Number of vertices
Tridiagonal Birkhoff polytope
Issue Date: 2010
Publisher: Elsevier
Abstract: The tridiagonal Birkhoff polytope, Ωnt, is the set of real square matrices with nonnegative entries and all rows and columns sums equal to 1 that are tridiagonal. This polytope arises in many problems of enumerative combinatorics, statistics, combinatorial optimization, etc. In this paper, for a given a p-face of Ωnt, we determine the number of faces of lower dimension that are contained in it and we discuss its nature. In fact, a 2-face of Ωnt is a triangle or a quadrilateral and the cells can only be tetrahedrons, pentahedrons or hexahedrons. © 2009 Elsevier Inc. All rights reserved.
Peer review: yes
ISSN: 0024-3795
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Appears in Collections:MAT - Artigos

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