Is there an explicit classification of (isomorphism classes of) ribbon graphs (fat graphs) of low genus (say 0,1,2, maybe 3) with 'few' vertices (say less than 10)?
Thanks!
Is there an explicit classification of (isomorphism classes of) ribbon graphs (fat graphs) of low genus (say 0,1,2, maybe 3) with 'few' vertices (say less than 10)? Thanks! 

