2 papers
math.SP2020
On extremal eigenvalues of the graph Laplacian
Andrea Serio
Upper and lower estimates of eigenvalues of the Laplacian on a metric graph have been established in 2017 by G. Berkolaiko, J.B. Kennedy, P. Kurasov and D. Mugnolo. Both these esti…
math.SP2020
Concrete method for recovering the Euler characteristic of quantum graphs
Corentin Léna, Andrea Serio
Trace formulas play a central role in the study of spectral geometry and in particular of quantum graphs. The basis of our work is the result by Kurasov which links the Euler chara…