23 citations · 187 across the 26 of their papers we have counts for
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The Tutte Polynomial of the Schreier graphs of the Grigorchuk group and the Basilica group
Tullio Ceccherini-Silberstein, Alfredo Donno, Donatella Iacono
We study the Tutte polynomial of two infinite families of finite graphs. These are the Schreier graphs associated with the action of two well-known self-similar groups acting on th…
Weighted spanning trees on some self-similar graphs
Daniele D'Angeli, Alfredo Donno
We compute the complexity of two infinite families of finite graphs: the Sierpiński graphs, which are finite approximations of the well-known Sierpińsky gasket, and the Schreier gr…
Generalized crested products of Markov chains
Daniele D'Angeli, Alfredo Donno
We define a finite Markov chain, called generalized crested product, which naturally appears as a generalization of the first crested product of Markov chains. A complete spectral…
The Tutte polynomial of the Sierpinski and Hanoi graphs
Alfredo Donno, Donatella Iacono
We study the Tutte polynomial of two infinite families of finite graphs: the Sierpiński graphs, which are finite approximations of the well-known Sierpiński gasket, and the Schreie…
Partition functions of the Ising model on some self-similar Schreier graphs
Daniele D'Angeli, Alfredo Donno, Tatiana Nagnibeda
We study partition functions and thermodynamic limits for the Ising model on three families of finite graphs converging to infinite self-similar graphs. They are provided by three…