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

Abstract

We express the tau constant of a metrized graph in terms of the discrete Laplacian matrix and its pseudo inverse.

arXiv commentMinor changes made to the content to make it more compact. One reference is added. 13 pages and 2 figures

References in corpus (2)

• The tau constant and the edge connectivity of a metrized graph
• The tau constant of a metrized graph and its behavior under graph operations

Cited by in corpus (4)

• The tau constant and the edge connectivity of a metrized graph
• The tau constant of a metrized graph and its behavior under graph operations
• Zhang's Conjecture and the Effective Bogomolov Conjecture over function fields
• Generalized Foster's identities