Sorting and preimages of pattern classes

Details Sorting and preimages of pattern classes Sorting and preimages of pattern classes

2012-03-12

arxiv.org/abs/1203.2437v1

Mathematics

Combinatorics

13 pages, 5 figures, to appear at FPSAC 2012

Scientific paper

We introduce an algorithm to determine when a sorting operation, such as stack-sort or bubble-sort, outputs a given pattern. The algorithm provides a new proof of the description of West-2-stack-sortable permutations, that is permutations that are completely sorted when passed twice through a stack, in terms of patterns. We also solve the long-standing problem of describing West-3-stack-sortable permutations. This requires a new type of generalized permutation pattern we call a decorated pattern.

Affiliated with

Also associated with

No associations

Rating

Sorting and preimages of pattern classes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Sorting and preimages of pattern classes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sorting and preimages of pattern classes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-488097