Ranking patterns of unfolding models of codimension one

@article{Kamiya2011RankingPO,
  title={Ranking patterns of unfolding models of codimension one},
  author={Hidehiko Kamiya and Akimichi Takemura and Hiroaki Terao},
  journal={Adv. Appl. Math.},
  year={2011},
  volume={47},
  pages={379-400}
}
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 patterns as slices of the braid arrangement and show that all braid slices, including those not associated with unfolding models, are in one-to-one correspondence with the chambers of an arrangement. By identifying those which are associated with unfolding models, we find the number of ranking patterns. We also give an… 

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