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You need to adjust the size of the output picture; you can do this with the figsize keyword:
sage: n = 5
sage: node = {}
sage: node[''] = [str(x) for x in range(n)]
sage: for x in range(n):
... node[str(x)] = [str(x) + str(y) for y in range(n)]
...
sage: g = Graph(node)
sage: P = g.plot(layout='tree', tree_root='')
sage: P.show(figsize=[10,10])
For larger graphs, you'll probably need to use an even larger figsize, determined by the number of leaves on the bottom row.
