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Encyclopedia of Combinatorial Polytope Sequences



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Symmetric Traveling salesman polytope

(No 3d term.)

• Symmetric Traveling Salesman polytopes STSP [zib.de] (M. Grötschel, M. Padberg), [SMAPO library]
• convex_hull({char_vector_HC | HC a Hamiltonian cycle of the complete graph on n nodes})
• Dimensions:
0, 2, 5, 9, 14 ... n(n-3)/2
• Number of Vertices in nth polytope:
1, 3, 12, 60, ... (n-1)!/2[ OEIS A001710]
• Number of Facets:
0, 3, 20 ,100, 3437, 194187, 42104442,... OPEN [ OEIS ?]
• f-vectors:
1, 3, 3, 1, 12, 60, 120, 90, 20, 1 ... [ OEIS ?]
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