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Best way to plot graph

Hello!

Could you pleas advise me the best way to plot graph with cycles and make it looks like tree? Here is the sample picture of result I'd like to have:

image description

Plot on this pictures have 'layers', is there any chance to get something like this in Sage? I tried this:

t = DiGraph()
t.add_edge((0,1))
t.add_edge((0,2))
t.add_edge((0,3))
t.add_edge((0,4))

t.add_edge((4,9))
t.add_edge((3,9))
t.add_edge((2,9))
t.add_edge((1,9))

t.plot()

but the result is far from desired.

Thanks.