Abstract
For a lattice Λ with n vertices and dimension d equal to or higher than 2, the number of spanning trees NST(Λ) increases asymptotically as exp(nzΛ) in the thermodynamic limit. We present exact integral expressions for the asymptotic growth constant z Λ for spanning trees on several lattices. By taking different unit cells in the calculation, many integral identities can be obtained. We also give zΛ(p) on the homeomorphic expansion of k-regular lattices with p vertices inserted on each edge.
Original language | English |
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Article number | 001 |
Pages (from-to) | 10263-10275 |
Number of pages | 13 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 39 |
Issue number | 33 |
DOIs | |
Publication status | Published - 2006 Aug 18 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)