## Spanning forests and the vector bundle Laplacian

*Kenyon, Richard*;

- Publisher: The Institute of Mathematical Statistics
- Journal: issn: 0091-1798
Related identifiers: - Subject: resistor network | Mathematical Physics | quaternion | Mathematics - Probability | spanning tree | 82B20 | Discrete Laplacianacm: MathematicsofComputing_DISCRETEMATHEMATICS

The classical matrix-tree theorem relates the determinant of the combinatorial Laplacian on a graph to the number of spanning trees. We generalize this result to Laplacians on one- and two-dimensional vector bundles, giving a combinatorial interpretation of their determ... View more

Share - Bookmark

- Download from