A. Maksimenko

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20172019

most cited2-neighborly 0/1-polytopes of dimension 7

2 citations · 2 across the 3 of their papers we have counts for

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math.CO2019

All 2-neighborly d-polytopes with at most d + 9 facets

Aleksandr N. Maksimenko, Dmitry V. Gribanov, Dmitry S. Malyshev

We give a complete enumeration of all 2-neighborly $d$ -polytopes with $d + 9$ and less facets. All of them are realized as 0/1-polytopes, except a 6-polytope $P_{6, 10, 15}$ with 10 ve…

math.CO2019★ 2 cited

2-neighborly 0/1-polytopes of dimension 7

Aleksandr Maksimenko

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 0…

math.CO2018

On the minimum number of facets of a 2-neighborly polytope

Aleksandr Maksimenko

Let $μ_{2n} (d, v)$ (respectively, $μ_{2n}^{s} (d, v)$ ) be the minimal number of facets of a (simplicial) 2-neighborly $d$ -polytope with $v$ vertices, $v > d \ge 4…