On the Parikh-de-Bruijn grid
Péter Burcsi, Zsuzsanna Lipták, W.F. Smyth · arXiv (Cornell University) · 2017
We introduce the Parikh-de-Bruijn grid, a graph whose vertices are fixed-order Parikh vectors, and whose edges are given by a simple shift operation. This graph gives structural insight into the nature of sets of Parikh vectors as well as that of the Parikh set of a given string. We show its utility by proving some results on Parikh-de-Bruijn strings, the abelian analog of de-Bruijn sequences.