121 citations · 538 across the 72 of their papers we have counts for
3 papers · 1 filter
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…
Ricci-flat cubic graphs with girth five
David Cushing, Riikka Kangaslampi, Yong Lin +3
We classify all connected, simple, 3-regular graphs with girth at least 5 that are Ricci-flat. We use the definition of Ricci curvature on graphs given in Lin-Lu-Yau, Tohoku Math.,…
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…