4 papers · 1 filter
Betti number estimates for non-negatively curved graphs
Moritz Hehl, Florentin Münch
In this paper, we establish Betti number estimates for graphs with non-negative Ollivier curvature, and for graphs with non-negative Bakry-Ãmery curvature, providing a discrete an…
A condition for non-negative Lin-Lu-Yau curvature
Moritz Hehl
We investigate the Ollivier-Ricci curvature and its modification introduced by Lin, Lu, and Yau on locally finite graphs. The main contribution of this work is a lower bound on the…
Ollivier-Ricci curvature of regular graphs
Moritz Hehl
We derive explicit formulas for the Lin-Lu-Yau curvature and the Ollivier-Ricci curvature in terms of graph parameters and an optimal assignment. Utilizing these precise expression…
Graphs with Lin-Lu-Yau curvature at least one and regular bone-idle graphs
Moritz Hehl
We study the Ollivier-Ricci curvature and its modification introduced by Lin, Lu, and Yau on graphs. We provide a complete characterization of all graphs with Lin-Lu-Yau curvature…