2 papers
math.CO2026
Cheeger inequalities on simplicial complexes
Jürgen Jost, Dong Zhang
Cheeger-type inequalities in which the decomposability of a graph and the spectral gap of its Laplacian mutually control each other play an important role in graph theory and netwo…
math.DG2025
Liouville property and non-negative Ollivier curvature on graphs
Jürgen Jost, Florentin Münch, Christian Rose
For graphs with non-negative Ollivier curvature, we prove the Liouville property, i.e., every bounded harmonic function is constant. Moreover, we improve Ollivier's results on conc…