The Graph Curvature Calculator and the curvatures of cubic graphs
Cushing, David; Kangaslampi, Riikka; Lipiäinen, Valtteri; Liu, Shiping; Stagg, George W. (2022-07)
Cushing, David
Kangaslampi, Riikka
Lipiäinen, Valtteri
Liu, Shiping
Stagg, George W.
07 / 2022
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi:tuni-202101201496
https://urn.fi/URN:NBN:fi:tuni-202101201496
Kuvaus
Peer reviewed
Tiivistelmä
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-negatively curved graphs are the prism graphs and the Möbius ladders. We also highlight an online tool for calculating the curvature of graphs under several variants of these curvature notions that we use in the classification. As a consequence of the classification result we show, that non-negatively curved cubic expanders do not exist.
Kokoelmat
- TUNICRIS-julkaisut [18987]