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math.CO2026
Column Number of Delta-modular matrices: Refined Analysis via Sauer Matrices
Elizaveta Pribytkova, Dmitry Gribanov, Stanislav Moiseev
In this paper, we build upon the analysis initiated by Gennadiy Averkov and Matthias Schymura (2022) and establish that the number of distinct columns of a -modular matrix $A \i…
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 -polytopes with and less facets. All of them are realized as 0/1-polytopes, except a 6-polytope with 10 ve…