English

Spanning Trees in Grid Graphs

Combinatorics 2008-09-16 v1

Abstract

Building on work by Desjarlais, Molina, Faase, and others, a general method is obtained for counting the number of spanning trees of graphs that are a product of an arbitrary graph and either a path or a cycle, of which grid graphs are a subclass. Results are obtained pertaining to recurrences obtained in this manner, and numerous new integer sequences are found.

Keywords

Cite

@article{arxiv.0809.2551,
  title  = {Spanning Trees in Grid Graphs},
  author = {Paul Raff},
  journal= {arXiv preprint arXiv:0809.2551},
  year   = {2008}
}

Comments

Submitted to the Journal of Integer Sequences. 16 pages, 12 figures

R2 v1 2026-06-21T11:20:23.154Z