7 citations · 23 across the 11 of their papers we have counts for
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math.CO2019
Erratum to "-crystals: Axioms, structure, models" [J. Combin. Theory, Ser. A, 116 (2009), 265--289]
Vladimir Danilov, Alexander Karzanov, Gleb Koshevoy
In this erratum we explain how to implement some axioms stated in our paper of 2009 so as to obtain a purely "local" characterization for finite -crystals, which was declared…
math.CO2019
The weak separation in higher dimensions
Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy
For an odd integer and an integer , we introduce a notion of weakly -separated collections of subsets of . When , this corresponds to the c…
math.CO2019
Cubillages of cyclic zonotopes
V. I. Danilov, A. V. Karzanov, G. A. Koshevoy
This paper (written in Russian) presents a survey of new and earlier results on fine zonotopal tilings (briefly, cubillages) of cyclic zonotopes. The combinatorial theory of these…