4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.SP2022
Spectral minimal partitions of unbounded metric graphs
Matthias Hofmann, James B. Kennedy, Andrea Serio
We investigate the existence or non-existence of spectral minimal partitions of unbounded metric graphs, where the operator applied to each of the partition elements is a Schröding…
math.SP2020★ 4 cited
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★ 2 cited
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…