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- W2035276095 abstract "For a fixed tree T with n vertices the corresponding acyclic Birkhoff polytope Ω n ( T ) consists of doubly stochastic matrices having support in positions specified by T . This is a face of the Birkhoff polytope Ω n (which consists of all n × n doubly stochastic matrices). The skeleton of Ω n ( T ) is the graph where vertices and edges correspond to those of Ω n ( T ) , and we investigate some properties of this graph. In particular, we characterize adjacency of pairs of vertices, compute the minimum degree of a vertex and show some properties of the maximum degree of a vertex in the skeleton. We also determine the maximum degree for certain classes of trees, including paths, stars and caterpillars." @default.
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- W2035276095 date "2014-09-01" @default.
- W2035276095 modified "2023-09-27" @default.
- W2035276095 title "The skeleton of acyclic Birkhoff polytopes" @default.
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- W2035276095 doi "https://doi.org/10.1016/j.laa.2014.05.021" @default.
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