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math.SP2026
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…
math.SP2021
Interlacing and Friedlander-type inequalities for spectral minimal partitions of metric graphs
Matthias Hofmann, James B. Kennedy
We prove interlacing inequalities between spectral minimal energies of metric graphs built on Dirichlet and standard Laplacian eigenvalues, as recently introduced in [Kennedy et al…
math.SP2020
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…