12 citations · 12 across the 3 of their papers we have counts for
3 papers
Spectral minimal partitions of combinatorial graphs
Matthias Hofmann, James B. Kennedy, Delio Mugnolo +1
This paper investigates spectral minimal partitions for weighted graphs, thus extending the extensive class of results that are currently available on domains and, to a lesser exte…
On Pleijel's nodal domain theorem for quantum graphs
Matthias Hofmann, James B. Kennedy, Delio Mugnolo +1
We establish metric graph counterparts of Pleijel's theorem on the asymptotics of the number of nodal domains of the -th eigenfunction(s) of a broad class of operators on…
Asymptotics and estimates for spectral minimal partitions of metric graphs
Matthias Hofmann, James B. Kennedy, Delio Mugnolo +1
We study properties of spectral minimal partitions of metric graphs within the framework recently introduced in [Kennedy et al, Calc. Var. 60 (2021), 61]. We provide sharp lower an…