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math.MG2015★ 1 cited
On Lattice Coverings by Simplices
Fei Xue, Chuanming Zong
By studying the volume of a generalized difference body, this paper presents the first nontrivial lower bound for the lattice covering density by -dimensional simplices.
math.MG2014★ 2 cited
Minkowski Bisectors, Minkowski Cells, and Lattice Coverings
Chuanming Zong
This article introduces and studies Minkowski Bisectors, Minkowski Cells, and Lattice Coverings.