1 citations · 2 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
Bounds on eigenvalue ratios of quantum graphs
Evans M. Harrell, James B. Kennedy, Gabriel J. Ramos
We study ratios of eigenvalues of the Laplacian on compact metric graphs. Our goals are threefold: First, we prove a sharp Ashbaugh--Benguria-type bound for the ratio of the first…
Towards a theory of eigenvalue asymptotics on infinite metric graphs: the case of diagonal combs
James B. Kennedy, Delio Mugnolo, Matthias Täufer
We examine diagonal combs, a recently identified class of infinite metric graphs whose properties depend on one parameter. These graphs exhibit a fascinating regime where they poss…
Optimizing the Fundamental Eigenvalue Gap of Quantum Graphs
Mohammed Ahrami, Zakaria El Allali, Evans M Harrell +1
We study the problem of minimizing or maximizing the fundamental spectral gap of Schrödinger operators on metric graphs with either a convex potential or a ``single-well'' potentia…