Frucht graph
In the mathematical field of graph theory, the Frucht graph is a cubic graph with 12 vertices, 18 edges, and no nontrivial symmetries. It was first described by Robert Frucht in 1939.
| Frucht graph | |
|---|---|
The Frucht graph | |
| Named after | Robert Frucht |
| Vertices | 12 |
| Edges | 18 |
| Radius | 3 |
| Diameter | 4 |
| Girth | 3 |
| Automorphisms | 1 ({id}) |
| Chromatic number | 3 |
| Chromatic index | 3 |
| Properties | Cubic Halin Pancyclic |
| Table of graphs and parameters | |
The Frucht graph is a pancyclic, Halin graph with chromatic number 3, chromatic index 3, radius 3, and diameter 4. Like every Halin graph, the Frucht graph is polyhedral (planar and 3-vertex-connected) and Hamiltonian, with girth 3. Its independence number is 5.
The Frucht graph can be constructed from the LCF notation: [−5,−2,−4,2,5,−2,2,5,−2,−5,4,2].
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.