On the number of spanning trees on various lattices

Teufl E. ; Wagner S. (2010)


We consider the number of spanning trees in lattices; for a lattice L, one defines the bulk limit zL = lim|VG|→∞(log Nst(G))/|VG|, where Nst(G) is the number of spanning trees in a finite section G of L. Explicit values for zL are known in various special cases. In this note we describe a simple yet effective method to deduce relations between the values of zL for different lattices L by means of electrical network theory. © 2010 IOP Publishing Ltd.

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