3 citations · 7 across the 5 of their papers we have counts for
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math.CO2011
On Euclidean designs and the potential energy
Tsuyoshi Miezaki, Makoto Tagami
We study Euclidean designs from the viewpoint of the potential energy. For a finite set in Euclidean space, We formulate a linear programming bound for the potential energy by appl…
math.CO2010★ 1 cited
On the number of points in a lattice polytope
Arseniy Akopyan, Makoto Tagami
In this article we will show that for every natural and there exists a natural number such that for every -dimensional simplicial complex with vertic…
math.CO2008★ 1 cited
Gorenstein polytopes obtained from bipartite graphs
Makoto Tagami
Beck et. al. characterized the grid graphs whose perfect matching polytopes are Gorenstein and they also showed that for some parameters, perfect matching polytopes of torus graphs…