Abstract:Discrete Fenchel duality is one of the central issues in discrete convex analysis. The Fenchel-type min-max theorem for a pair of integer-valued M ♮ -convex functions generalizes the min-max formulas for polymatroid intersection and valuated matroid intersection. In this paper we establish a Fenchel-type min-max formula for a pair of integervalued integrally convex and separable convex functions. Integrally convex functions constitute a fundamental function class in discrete convex analysis, including both M ♮… Show more
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