3 citations · 6 across the 3 of their papers we have counts for
3 papers
math.CO2018★ 2 cited
Multiple addition, deletion and restriction theorems for hyperplane arrangements
Takuro Abe, Hiroaki Terao
In the study of free arrangements, the most useful result to construct/check free arrangements is the addition-deletion theorem. Recently, the multiple version of the addition theo…
math.CO2010★ 1 cited
Ranking patterns of unfolding models of codimension one
Hidehiko Kamiya, Akimichi Takemura, Hiroaki Terao
We consider the problem of counting the number of possible sets of rankings (called ranking patterns) generated by unfolding models of codimension one. We express the ranking patte…
math.CO2004★ 3 cited
Ranking patterns of the unfolding model and arrangements
H. Kamiya, P. Orlik, A. Takemura +1
In the unidimensional unfolding model, given m objects in general position there arise 1+m(m-1)/2 rankings. The set of rankings is called the ranking pattern of the m given objects…