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Contributed Papers

Icon: calendar Contributed Paper Session II-6 #2 | 2025 Mar 01 from 10:20AM to 10:35AM (Eastern Time (US & Canada)) | Phillips 220

‟Counting Spanning Forests” by Daniel Pragel <dpragel@ggc.edu>, Georgia Gwinnett College

Abstract:

A spanning forest of a graph G is an acyclic spanning subgraph of G. When a spanning forest has a single connected component, it is referred to as a spanning tree. A well known theorem from Kirchhoff uses the Laplacian Matrix of G to count the number of spanning trees of G. We extend this method to spanning forests.

Author Notes:

This talk is based on work completed with J.C. Price and Daniel Pinzon of Georgia Gwinnett College.