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Cited by 5 publications
(1 citation statement)
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“…The Birkhoff-von Neumann Theorem shows that B n can be realized as the intersection of the positive orthant with a family of hyperplanes. Birkhoff polytopes are a widely studied class of polytopes [6, 7, 9-13, 16, 17, 19] with many applications in different areas of mathematics, e.g., enumerative combinatorics [1,38], optimization [2,27,39], statistics [26,37], or representation theory [8,34]. Yet, despite all these efforts, quite fundamental questions about the combinatorial and geometric structure of this polytope, and its algorithmic treatment, are still open.…”
Section: Introductionmentioning
confidence: 99%
“…The Birkhoff-von Neumann Theorem shows that B n can be realized as the intersection of the positive orthant with a family of hyperplanes. Birkhoff polytopes are a widely studied class of polytopes [6, 7, 9-13, 16, 17, 19] with many applications in different areas of mathematics, e.g., enumerative combinatorics [1,38], optimization [2,27,39], statistics [26,37], or representation theory [8,34]. Yet, despite all these efforts, quite fundamental questions about the combinatorial and geometric structure of this polytope, and its algorithmic treatment, are still open.…”
Section: Introductionmentioning
confidence: 99%