We introduce the Parikh-de-Bruijn grid, a graph whose vertices arefixed-order Parikh vectors, and whose edges are given by a simple shiftoperation. This graph gives structural insight into the nature of sets ofParikh vectors as well as that of the Parikh set of a given string. We show itsutility by proving some results on Parikh-de-Bruijn strings, the abelian analogof de-Bruijn sequences.

On the Parikh-de-Bruijn grid

Zsuzsanna Lipták;
2017-01-01

Abstract

We introduce the Parikh-de-Bruijn grid, a graph whose vertices arefixed-order Parikh vectors, and whose edges are given by a simple shiftoperation. This graph gives structural insight into the nature of sets ofParikh vectors as well as that of the Parikh set of a given string. We show itsutility by proving some results on Parikh-de-Bruijn strings, the abelian analogof de-Bruijn sequences.
2017
Computer Science - Discrete Mathematics; Computer Science - Discrete Mathematics; 68R15 (Primary), 68W32 (Secondary)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/972646
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