Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
435337 | Theoretical Computer Science | 2016 | 13 Pages |
Abstract
We examine three permutations on Dyck words. The first one, α, is related to the Baker and Norine theorem on graphs, the second one, β, is the symmetry, and the third one is the composition of these two. The first two permutations are involutions and it is not difficult to compute the number of their fixed points, while the third one has cycles of different lengths. We show that the lengths of these cycles are odd numbers. This result allows us to give some information about the interplay between α and β , and a characterization of the fixed points of α∘βα∘β.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Marilena Barnabei, Flavio Bonetti, Niccolò Castronuovo, Robert Cori,