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first notice that the same problem will appear if you type:

sage: a=graphs.CompleteGraph(3) ; a.<TAB>

The reason is that the Sage interpreter has to know what object is a to give you available methods. So, c[0] has to be evaluated somehow.

Now, if your aim is to avoid coming back to the beginnig of the line and replace

sage: c[0].


sage: d = c[0]

and then

sage: d.<TAB>

A trick that could help you is to use the underscore, which holds the result of the last evaluated command:

sage: c[0]
Complete graph: Graph on 3 vertices
sage: _.<TAB>

Hence, you only have to hit two additional keys ("evaluate" after c[0] and "underscore" before dot), no backtrack.