Schläfli graph
| Schläfli graph | |
|---|---|
| Vertices | 27 |
| Edges | 216 |
| Radius | 2 |
| Diameter | 2 |
| Girth | 3 |
| Automorphisms | 51840 |
| Chromatic number | 9 |
| Properties | Strongly regular Claw-free Hamiltonian |
| Table of graphs and parameters | |
In the mathematical field of graph theory, the Schläfli graph, named after Ludwig Schläfli, is a 16-regular undirected graph with 27 vertices and 216 edges. It is a strongly regular graph with parameters srg(27, 16, 10, 8).