A. Higashitani

activity

20092023

most citedArithmetic aspects of symmetric edge polytopes

30 citations · 184 across the 67 of their papers we have counts for

collaborators

Showing 2012 · math.COShow all

4 papers · 2 filters

math.CO2012

Integer decomposition property of dilated polytopes

David A. Cox, Christian Haase, Takayuki Hibi +1

Let $P \subset R^{N}$ be an integral convex polytope of dimension $d$ and write $k P$ , where $k = 1, 2, \dots$ , for dilations of $P$ . We say t…

math.CO2012

Non-normal very ample polytopes and their holes

Akihiro Higashitani

In this paper, we show that for given integers $h$ and $d$ with $h \geq 1$ and $d \geq 3$ , there exists a non-normal very ample integral convex polytope of dimension $d$ which has…

math.CO2012★ 8 cited

Lattice multi-polygons

Akihiro Higashitani, Mikiya Masuda

We discuss generalizations of some results on lattice polygons to certain piecewise linear loops which may have a self-intersection but have vertices in the lattice $Z^{2}$ .…

math.CO2012★ 5 cited

Normal cyclic polytopes and cyclic polytopes that are not very ample

Takayuki Hibi, Akihiro Higashitani, Lukas Katthän +1

Let $d$ and $n$ be positive integers with $n \geq d + 1$ and $τ_{1}, ..., τ_{n}$ integers with $τ_{1} < ... < τ_{n}$ . Let $C_{d}(τ_{1}, ..., τ_{n}) \subset \RR^{d}$ denote the cycl…