On the Parikh-de-Bruijn grid

Autor: Burcsi, Péter, Lipták, Zsuzsanna, Smyth, W. F.
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 18 pages, 3 figures, 1 table
Databáze: arXiv