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Jun 6, 2014 at 11:04 vote accept Alejandro Erickson
May 2, 2014 at 0:38 comment added Brendan McKay If any new edges are removed, the degree sum condition may not be met when cycle edges are removed. That condition is a necessary part of the argument that a new cycle can be found.
May 1, 2014 at 23:21 comment added The Masked Avenger Why not start by removing all (or half, say) of the new edges not on the cycle? (or even 1/k, where k is the number of new edges on the cycle.)
May 1, 2014 at 22:54 history answered Brendan McKay CC BY-SA 3.0