Definition:Star Graph

Definition

The star graph of order $n$, denoted $S_n$ is a simple graph with $n$ vertices with the following properties:

One distinguished vertex is of degree $n - 1$

The remaining vertices are all of degree $1$ and are adjacent only to the distinguished vertex.

Also see

• Results about star graphs can be found here.

Sources

• Weisstein, Eric W. "Star Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StarGraph.html