30 citations · 58 across the 8 of their papers we have counts for
8 papers
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…
Surface subgroups on 1-vertex and 3-vertex polyhedra forming triangular hyperbolic buildings
Riikka Kangaslampi
In this article we study surface subgroups of groups acting simply transitively on vertex sets of certain hyperbolic triangular buildings. Kangaslampi and Vdovina have constructed…
Hyperbolic triangular buildings without periodic planes of genus two
Riikka Kangaslampi, Alina Vdovina
We study surface subgroups of groups acting simply transitively on vertex sets of certain hyperbolic triangular buildings. The study is motivated by Gromov's famous surface subgrou…
Groups acting simply transitively on hyperbolic buildings
Lisa Carbone, Riikka Kangaslampi, Alina Vdovina
We construct and classify all groups, given by triangular presentations associated to the smallest thick generalized quadrangle, that act simply transitively on the vertices of hyp…
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…