Spanning Trees in Grid Graphs
Abstract
Description
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.
Submitted to the Journal of Integer Sequences. 16 pages, 12 figures
Submitted to the Journal of Integer Sequences. 16 pages, 12 figures