## Number of Euler Circuits in K5?

**How many euler circuits are there in the complete graph ****K _{5}?**

**264.**

There are 264 euler circuits in the complete graph known as K5, which is typically represented as a pentagon with a star inside. This is described in the paper ‘Å“Asymptotic Enumeration of Eulerian Circuits in the Complete Graph’ by Mackay and Robinson published in 1998.

This fact is verified on : March 29, 2010.