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20072026
most citedClassification of triples of lattice polytopes with a given mixed volume

11 citations · 47 across the 48 of their papers we have counts for

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math.CO2017

Lattice simplices with a fixed positive number of interior lattice points: A nearly optimal volume bound

Gennadiy Averkov, Jan Krümpelmann, Benjamin Nill

We give an explicit upper bound on the volume of lattice simplices with fixed positive number of interior lattice points. The bound differs from the conjectural sharp upper bound o…

math.OC2017★ 5 cited

Approximation of corner polyhedra with families of intersection cuts

Gennadiy Averkov, Amitabh Basu, Joseph Paat

We study the problem of approximating the corner polyhedron using intersection cuts derived from families of lattice-free sets in . In particular, we look at the prob…