A quintic symmetric graph is a quintic graph (i.e., regular of degree 5) that is also symmetric. Since quintic graphs exist only on an even number of nodes, so do symmetric quintic graphs. The only symmetric quintic graph on 9 or fewer nodes is the complete graph . The following table lists some small symmetric quintic graphs.

# Quintic Symmetric Graph

## See also

Cubic Symmetric Graph, Quartic Symmetric Graph, Quintic Graph, Symmetric Graph## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Quintic Symmetric Graph."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/QuinticSymmetricGraph.html