For n-vertex, d-dimensional lattices Λ with d ≥ 2, the number of spanning trees NST(Λ) grows asymptotically as exp(nz Λ) in the thermodynamic limit. We present an exact closed-form result for the asymptotic growth constant zbcc(d) for spanning trees on the d-dimensional body-centred cubic lattice. We also give an exact integral expression for zfcc on the face-centred cubic lattice and an exact closed-form expression for z488 on the 4 8 8 lattice.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)