The tau constant and the discrete Laplacian matrix of a metrized graph

Zubeyir Cinkir
2011 European journal of combinatorics (Print)  
We express the tau constant of a metrized graph in terms of the discrete Laplacian matrix and its pseudo-inverse.
doi:10.1016/j.ejc.2011.01.008 fatcat:ogamnznhfbgl5gtbrsnhjgs3fe