Is there a bound for the genus of the generalized petersen graphs?

134 Views Asked by At

I've looked online and could only find a bound for specific generalized petersen graphs. Does any bound (lower or upper) depending on $n$ and $k$, where $n$ is the order of a cycle and $k$ is the "jump" in the inner cycle, exist? For example, the Petersen graph is denoted $GP(5,2)$ ($GP$ stands for generalized petersen). Sources to find the information would be appreciated!