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.
Set systems with restricted cross-intersections and the minimum rank of inclusion matrices
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves Cheeger inequalities for persistent up p-Laplacians on complex inclusions, with reductions for pseudomanifolds and comparisons to graph cases.
citing papers explorer
-
Triangle Families with Large Edge Up-Laplacian Spectral Gap
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.
-
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.