Reducing the ambiguity of Parikh matrices
conference contributionposted on 29.11.2019, 13:43 by Jeff DickJeff Dick, Laura HutchinsonLaura Hutchinson, Robert MercasRobert Mercas, Daniel ReidenbachDaniel Reidenbach
The Parikh matrix mapping allows us to describe words using matrices. Although compact, this description comes with a level of ambiguity since a single matrix may describe multiple words. This work looks at how considering the Parikh matrices of various transformations of a given word can decrease that ambiguity. More specifically, for any word, we study the Parikh matrix of its Lyndon conjugate as well as that of its projection to a smaller alphabet. Our results demonstrate that ambiguity can often be reduced using these concepts, and we give conditions on when they succeed.
- Computer Science