Mathematics – Combinatorics
Scientific paper
2010-06-30
Mathematics
Combinatorics
21 pages
Scientific paper
We compute the complexity of two infinite families of finite graphs: the Sierpi\'{n}ski graphs, which are finite approximations of the well-known Sierpi\'nsky gasket, and the Schreier graphs of the Hanoi Towers group $H^{(3)}$ acting on the rooted ternary tree. For both of them, we study the weighted generating functions of the spanning trees, associated with several natural labellings of the edge sets.
D'Angeli Daniele
Donno Alfredo
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