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Author

Delio Mugnolo

FernUniversität in Hagen

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Open access Sep 2026

On the Heat Content of Compact Quantum Graphs

We study the heat content for Laplacians on compact, finite metric graphs with Dirichlet conditions imposed at the “boundary” (i.e., a given set of vertices) and standard conditions imposed elsewhere. We prove a closed formula of combinatorial flavor, as it is expressed as a sum over all paths starting and ending a...

Patrizio Bifulco, Delio Mugnolo · 0 citations
Preprint Aug 2026

Spectral minimal partitions of combinatorial graphs

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 extent, manifolds and metric graphs. We provide a rigorous framework for analyzing graph Laplacians under Dirichlet, Neumann, and boundaryless e...

M. Hofmann, James B Kennedy, Delio Mugnolo et al. · 0 citations

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