The fine structure of 321 avoiding involutions

Details The fine structure of 321 avoiding involutions The fine structure of 321 avoiding involutions

2010-10-28

arxiv.org/abs/1010.5919v1

Mathematics

Combinatorics

19 pages including 8 figures

Scientific paper

We study the involutions belonging to the class of 321 avoiding permutations. We calculate the algebraic generating functions of the set containing the involutions avoiding 321 and of some of its subsets. Precisely we determine the algebraic generating functions of the involutions that are expansions of 12, of those expansions of 21, of the simple ones and of their expansions. The graphics of the simple involutions are caracterized. Being the simple involutions avoiding 321 counted by Riordan's numbers, a combinatoric interpretation of the results is illustrated through a class of Motzkin paths. Another interpretation is given through Dyck paths.

Affiliated with

Also associated with

No associations

Rating

The fine structure of 321 avoiding involutions 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 The fine structure of 321 avoiding involutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The fine structure of 321 avoiding involutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583717