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Sep 3, 2010 at 15:07 comment added Tony Huynh But eabc is not a spanning edge-tree, since it contains abc which is an edge cycle.
Sep 3, 2010 at 15:03 comment added Douglas S. Stones I thought this too initially (but it's not right). Take the 3-cycle on vertices {a,b,c}, add a vertex e and an edge between a and e. Then eabc and eacb are both spanning trees whose endpoints are not adjacent.
Sep 3, 2010 at 14:56 comment added Gjergji Zaimi I don't think the edge trees are required to be spanning trees.
Sep 3, 2010 at 14:47 history answered Nekura CC BY-SA 2.5