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]
The triangle graph is also known as the cycle graph \( C_{3} \) and the complete graph \( K_{3} \).
Properties
The 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 \( {\displaystyle (x-2)(x-1)x.} \)
See also
Triangle-free graph
References
Weisstein, Eric W. "Triangle Graph". MathWorld.
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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