13 citations · 101 across the 35 of their papers we have counts for
38 papers
A graph-theoretical characterisation of subgroups of Thompson's group
Corentin Bodart, Daniele D'Angeli, Davide Perego +1
We prove a graph-theoretical characterisation of finitely generated subgroups of Thompson's group : a finitely generated group embeds in if and only if it admits a faithful…
On totally synchronizing graphs
Daniele D'Angeli, Emanuele Rodaro
A coloring of a finite -out directed graph is viewed as a deterministic complete automaton with state set . The graph is called \emph{totally synchronizing} if eve…
Topological indices on self-similar graphs generated by groups
Daniele D'Angeli, Stefan Hammer, Emanuele Rodaro
In this paper, we determine precise formulas for the diameters, the number of perfect matchings, and the Tutte polynomials for an infinite family of finite graphs, namely the Schre…
The hereditariness problem for the Černý conjecture
Emanuele Rodaro, Riccardo Venturi
This paper addresses the lifting problem for the Černý conjecture: namely, whether the validity of the conjecture for a quotient automaton can always be transferred (or "lifted") t…
Horofunctions of infinite Sierpinski polygon graphs
Daniele D'Angeli, Francesco Matucci, Davide Perego +1
Generalizing works of D'Angeli and Donno, we describe, starting from an infinite sequence over letters with and , a sequence of pointed finite gra…
Freeness Obstructions for Self-Similar Groups Acting on Rooted Trees
Daniele D'Angeli, Emanuele Rodaro
We prove two general obstructions to freeness for self-similar groups and derive consequences for automaton groups. First, let be a finite invertible Mealy automaton w…