Encyclopedia of Combinatorial Polytope Sequences
(No 3d term.) [polymake for n=3] |
• Acyclic subgraph polytopes P_AC [ULB] (S. Fiorini) [springer] (M. Grötschel, M. Jünger, G. Reinelt), [MIT] (M. Goemans, L. Hall) • convex_hull({char_vector_AC | AC an acyclic subgraph of complete digraph on n nodes}) • Dicycle covering polytope P_DC [ULB] (S. Fiorini) • convex_hull({<1,...,1> - char_vector_AC | AC an acyclic subgraph of complete digraph on n nodes}) |
• Dimensions: 0, 2, 6, 12, ... n(n-1) • Numbers of vertices in nth polytope: 1, 3, 25, 543, 29281, ... [ OEIS A003024] • Facets: 0, 3, 11 ... OPEN [ OEIS ?] • f-vectors: 1, 3, 3, 1, 25, 93, 142, 111, 48, 11, 1, ... [ OEIS ?] |