30 citations · 123 across the 31 of their papers we have counts for
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math.CO2010★ 2 cited
On intersection lattices of hyperplane arrangements generated by generic points
Hiroshi Koizumi, Yasuhide Numata, Akimichi Takemura
We consider hyperplane arrangements generated by generic points and study their intersection lattices. These arrangements are known to be equivalent to discriminantal arrangements.…
math.CO2010★ 1 cited
Separation of integer points by a hyperplane under some weak notions of discrete convexity
Takuya Kashimura, Yasuhide Numata, Akimichi Takemura
We give some sufficient conditions of separation of two sets of integer points by a hyperplane. Our conditions are related to the notion of convexity of sets of integer points and…