Fleury's Algorithm: Finding Next Edge

[Joystar77]

Using Fleury’s Algorithm in the graph to the bottom left, I deleted three edges and I got the graph to the bottom right. If I am currently at the starred vertex, list all possibilities for the edge I should travel next.

A B Left graph
3

2
C D
1E F

A
B

Right graph

C D

E F

 

[Evgeny.Makarov]

You did not include pictures of the graph. Also, the letters (A, B, E, F, etc.) that follow the first paragraph don't make sense without a context.