6 citations · 9 across the 4 of their papers we have counts for
4 papers · 1 filter
Arrays and the octahedron recurrence
V. Danilov, G. Koshevoy
Recently, in papers by Knutson, Tao and Woodward, Henriques and Kamnitzer, Pak and Vallejo have been constructed several interesting bijections of associativity and commutativity.…
A simple proof of associativity and commutativity of LR-coefficients (or the hive ring)
V. Danilov, G. Koshevoy
We give a simple bijective proof of associativity and commutativity of the Littlewood-Richardson coefficients or the hive ring. Specifically, we establish existence a polarized pol…
Discrete convexity and unimodularity. I
V. I. Danilov, G. A. Koshevoy
In this paper we develop a theory of convexity for a free Abelian group M (the lattice of integer points), which we call theory of discrete convexity. We characterize those subsets…
Mathematics of Plott choice functions
V. I. Danilov, G. A. Koshevoy
This paper is devoted to a study of mathematical structures arising from choice functions satisfying the path independence property (Plott functions). We broaden the notion of a ch…