Vertical representation of C∞-words
- Autori: Fédou, J.; Fici, G.
- Anno di pubblicazione: 2015
- Tipologia: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/153519
Abstract
We present a new framework for dealing with C∞-words, based on their left and right frontiers. This allows us to give a compact representation of them, and to describe the set of C∞-words through an infinite directed acyclic graph G. This graph is defined by a map acting on the frontiers of C∞-words. We show that this map can be defined recursively and with no explicit reference to C∞-words. We then show that some important conjectures on C∞-words follow from analogous statements on the structure of the graph G.