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20002022
most citedOn the Relation Between Two Approaches to Necessary Optimality Conditions in Problems with State Constraints

14 citations

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12 papers · 1 filter

math.CO2022

On stable flows and preflows

Alexander Karzanov

In 2010s Fleiner introduced a notion of stable flows in directed networks and showed that such a flow always exists and can be found by use of a reduction to the stable allocation…

math.CO2018★ 4 cited

On interrelations between strongly, weakly and chord separated set-systems (a geometric approach)

V. I. Danilov, A. V. Karzanov, G. A. Koshevoy

We consider three types of set-systems that have interesting applications in algebraic combinatorics and representation theory: maximal collections of the so-called strongly separa…

math.CO2014★ 9 cited

Combined tilings and separated set-systems

Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy

In 1998, Leclerc and Zelevinsky introduced the notion of weakly separated collections of subsets of the ordered -element set (using this notion to give a combinatorial cha…

math.CO2013★ 4 cited

Subtraction-free complexity, cluster transformations, and spanning trees

Sergey Fomin, Dima Grigoriev, Gleb Koshevoy

Subtraction-free computational complexity is the version of arithmetic circuit complexity that allows only three operations: addition, multiplication, and division. We use cluster…

math.CO2012

Assembling crystals of type A

Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy

Regular -crystals are certain edge-colored directed graphs which are related to representations of the quantized universal enveloping algebra . For s…

math.CO2011★ 1 cited

Planar flows and quadratic relations over semirings

Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy

Adapting Lindström's well-known construction, we consider a wide class of functions which are generated by flows in a planar acyclic directed graph whose vertices (or edges) take w…