1 research outputs found
Spanning Trees on Lattices and Integration Identities
For a lattice with vertices and dimension equal or higher
than two, the number of spanning trees grows asymptotically
as in the thermodynamic limit. We present exact integral
expressions for the asymptotic growth constant for spanning trees
on several lattices. By taking different unit cells in the calculation, many
integration identities can be obtained. We also give on the
homeomorphic expansion of -regular lattices with vertices inserted on
each edge.Comment: 15 pages, 3 figures, 1 tabl