3 citations · 7 across the 5 of their papers we have counts for
5 papers
Spherical designs of harmonic index t
Eiichi Bannai, Takayuki Okuda, Makoto Tagami
Spherical -design is a finite subset on sphere such that, for any polynomial of degree at most , the average value of the integral on sphere can be replaced by the average va…
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…
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…
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…
Lower bounds on the coefficients of Ehrhart polynomials
Martin Henk, Makoto Tagami
We present lower bounds for the coefficients of Ehrhart polynomials of convex lattice polytopes in terms of their volume. Concerning the coefficients of the Ehrhart series of a lat…