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Sep 8, 2011 at 4:28 comment added Brendan McKay Yes you are right. I had in mind $k+i$, which is an eigenvalue of a digraph for any positive integer $k$.
Sep 8, 2011 at 4:05 comment added Douglas Zare That conclusion doesn't follow directly from the failure of closure of the reals times roots of unity since not all such numbers are eigenvalues of digraphs, but that is a good method for constructing counterexamples.
Sep 7, 2011 at 14:49 comment added Brendan McKay @igor: Actually it is so early in the morning (12:50am) that I don't understand your comment.
Sep 7, 2011 at 14:48 history edited Brendan McKay CC BY-SA 3.0
first part is wrong
Sep 7, 2011 at 14:39 comment added Igor Rivin True, but I would think you would have to wake up pretty early in the morning to have things so reducible...
Sep 7, 2011 at 14:28 history answered Brendan McKay CC BY-SA 3.0