Let POn be the semigroup of all order-preserving partial transformations of a finite chain. It is shown that there exist bijections between the set of certain lattice paths in the Cartesian plane that start at (0,0), end at (n - 1,n - 1), and.certain subsemigroups of POn. Several consequences of these bijections were discussed.
|Number of pages||14|
|Publication status||Published - 2016|
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics