This article relies largely or entirely on a single source. (July 2024) |
In the mathematical field of graph theory, the triangle graph is a planar undirected graph with 3 vertices and 3 edges, in the form of a triangle.[1]
| Triangle graph | |
|---|---|
 The triangle graph | |
| Vertices | 3 |
| Edges | 3 |
| Radius | 1 |
| Diameter | 1 |
| Girth | 3 |
| Automorphisms | 6 (D3) |
| Chromatic number | 3 |
| Chromatic index | 3 |
| Properties | 2-regular Vertex-transitive Edge-transitive Unit distance Hamiltonian Eulerian |
| Notation | or |
| Table of graphs and parameters | |
The triangle graph is also known as the cycle graph and the complete graph .
Properties
editThe triangle graph has chromatic number 3, chromatic index 3, radius 1, diameter 1 and girth 3. It is also a 2-vertex-connected graph and a 2-edge-connected graph.
Its chromatic polynomial is
