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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…
math.CO2025
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…