Large edge up-Laplacian spectral gaps in triangle families force minimum degree at least ceil(lambda)-1 and identify complete n-cliques as the only maximizers at size binom(n,3), with the max-gap function non-monotone between clique thresholds.
Spectra of combinatorial Laplace operators on simpli- cial complexes
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves Cheeger inequalities for persistent up p-Laplacians on complex inclusions, with reductions for pseudomanifolds and comparisons to graph cases.
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Cheeger Inequalities for the Persistent Laplacian
Proves Cheeger inequalities for persistent up p-Laplacians on complex inclusions, with reductions for pseudomanifolds and comparisons to graph cases.