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math.GR2026
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…
math.CO2026
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…
math.CO2026
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…