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arxiv: 1904.03638 · v1 · pith:JUZTFLX5new · submitted 2019-04-07 · 🧮 math.CO

2-neighborly 0/1-polytopes of dimension 7

classification 🧮 math.CO
keywords neighborlypolytopesclassescombinatorialdifferentdimensioncompleteenables
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We give a complete enumeration of all 2-neighborly 0/1-polytopes of dimension 7. There are 13 959 358 918 different 0/1-equivalence classes of such polytopes. They form 5 850 402 014 combinatorial classes and 1 274 089 different f-vectors. It enables us to list some of their combinatorial properties. In particular, we have found a 2-neighborly polytope with 14 vertices and 16 facets.

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