8 citations · 10 across the 3 of their papers we have counts for
4 papers
Spectral Determinants of Almost Equilateral Quantum Graphs
Jonathan Harrison, Tracy Weyand
Kirchoff's matrix tree theorem of 1847 connects the number of spanning trees of a graph to the spectral determinant of the discrete Laplacian [22]. Recently an analogue was obtaine…
Can One Hear the Spanning Trees of a Quantum Graph?
Jonathan Harrison, Tracy Weyand
Kirchhoff showed that the number of spanning trees of a graph is the spectral determinant of the combinatorial Laplacian divided by the number of vertices; we reframe this result i…
Relating Zeta Functions of Discrete and Quantum Graphs
Jonathan Harrison, Tracy Weyand
We write the spectral zeta function of the Laplace operator on an equilateral metric graph in terms of the spectral zeta function of the normalized Laplace operator on the correspo…
Zeta Functions of the Dirac Operator on Quantum Graphs
J. M. Harrison, T. Weyand, K. Kirsten
We construct spectral zeta functions for the Dirac operator on metric graphs. We start with the case of a rose graph, a graph with a single vertex where every edge is a loop. The t…