Resistance scaling and the number of spanning trees in self-similar lattices

DOI10.1007/s10955-011-0140-zzbMath1213.82024OpenAlexW2055159727MaRDI QIDQ633130

Elmar Teufl, Stephan G. Wagner

Publication date: 31 March 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-011-0140-z

zbMATH Keywords

electrical networksspanning treesresistance scalingself-similar lattices

Mathematics Subject Classification ID

Technical applications of optics and electromagnetic theory (78A55) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (9)

Enumeration of spanning trees on contact graphs of disk packings ⋮ The number of spanning trees of an infinite family of outerplanar, small-world and self-similar graphs ⋮ Entropy and enumeration of spanning connected unicyclic subgraphs in self-similar network ⋮ The number and degree distribution of spanning trees in the Tower of Hanoi graph ⋮ Enumeration of spanning trees in the sequence of Dürer graphs ⋮ The number of spanning trees in Apollonian networks ⋮ A survey and classification of Sierpiński-type graphs ⋮ The number of spanning trees of a family of 2-separable weighted graphs ⋮ Counting spanning trees in self-similar networks by evaluating determinants

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