4 papers · 1 filter
Quartic graphs which are Bakry-Émery curvature sharp
David Cushing, Supanat Kamtue, Norbert Peyerimhoff +1
We give a classification of all connected quartic graphs which are (infinity) curvature sharp in all vertices with respect to Bakry-Émery curvature. The result is based on a comput…
Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature
David Cushing, Supanat Kamtue, Jack Koolen +3
We introduce the notion of Bonnet-Myers and Lichnerowicz sharpness in the Ollivier Ricci curvature sense. Our main result is a classification of all self-centered Bonnet-Myers shar…
Long scale Ollivier-Ricci curvature of graphs
David Cushing, Supanat Kamtue
We study the long scale Ollivier-Ricci curvature of graphs as a function of the chosen idleness. As in the previous work on the short scale, we show that this idleness function is…
Curvature calculations for antitrees
David Cushing, Shiping Liu, Florentin Münch +1
In this article we prove that antitrees with suitable growth properties are examples of infinite graphs exhibiting strictly positive curvature in various contexts: in the normalize…