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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
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Volume of the convex hull of the set of all graphic sequences of a given length
The polytope considered by Richard Stanley is the polytope of degree sequences.
Sergiy Kozerenko's question is about the polytope of degree partitions for which see paper R46 of Volume 13 (2006) of th …