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math.CO2003
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…
math.CO2003
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…