Enumeration of saturated chains in Dyck lattices

Details Enumeration of saturated chains in Dyck lattices Enumeration of saturated chains in Dyck lattices

2012-03-30

arxiv.org/abs/1203.6807v1

Mathematics

Combinatorics

9 pages

Scientific paper

We determine a general formula to compute the number of saturated chains in
Dyck lattices, and we apply it to find the number of saturated chains of length
2 and 3. We also compute what we call the Hasse index (of order 2 and 3) of
Dyck lattices, which is the ratio between the total number of saturated chains
(of length 2 and 3) and the cardinality of the underlying poset.

Affiliated with

Also associated with

No associations

Rating

Enumeration of saturated chains in Dyck lattices 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 Enumeration of saturated chains in Dyck lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Enumeration of saturated chains in Dyck lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-64537