Ranking patterns of unfolding models of codimension one
Abstract
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 onetoone 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 upper bound for the number of ranking patterns when the difference by a permutation of objects is ignored.
 Publication:

arXiv eprints
 Pub Date:
 February 2010
 arXiv:
 arXiv:1003.0040
 Bibcode:
 2010arXiv1003.0040K
 Keywords:

 Mathematics  Combinatorics;
 32S22;
 52C35
 EPrint:
 Advances in Applied Mathematics 47 (2011) 379400