2-neighborly 0/1-polytopes of dimension 7
Combinatorics
2019-04-09 v1
Abstract
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.
Cite
@article{arxiv.1904.03638,
title = {2-neighborly 0/1-polytopes of dimension 7},
author = {Aleksandr Maksimenko},
journal= {arXiv preprint arXiv:1904.03638},
year = {2019}
}
Comments
8 pages, 1 figure, 6 tables