30 citations · 58 across the 8 of their papers we have counts for
5 papers · 1 filter
Bakry-Émery and Ollivier Ricci Curvature of Cayley Graphs
David Cushing, Supanat Kamtue, Riikka Kangaslampi +3
In this article we study two discrete curvature notions, Bakry-Émery curvature and Ollivier Ricci curvature, on Cayley graphs. We introduce Right Angled Artin-Coxeter Hybrids (RAAC…
Curvatures, graph products and Ricci flatness
David Cushing, Supanat Kamtue, Riikka Kangaslampi +2
In this paper, we compare Ollivier Ricci curvature and Bakry-Émery curvature notions on combinatorial graphs and discuss connections to various types of Ricci flatness. We show tha…
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.,…
The Graph Curvature Calculator and the curvatures of cubic graphs
David Cushing, Riikka Kangaslampi, Valtteri Lipiäinen +2
We classify all cubic graphs with either non-negative Ollivier-Ricci curvature or non-negative Bakry-Émery curvature everywhere. We show in both curvature notions that the non-nega…
Triangular hyperbolic buildings
Riikka Kangaslampi, Alina Vdovina
We construct triangular hyperbolic polyhedra whose links are generalized 4-gons. The universal cover of those polyhedra are hyperbolic buildings, which appartments are hyperbolic p…