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Apr 11, 2011 at 23:39 vote accept Milligram
Oct 17, 2010 at 12:43 comment added Milligram Sleepless, I aimed at your first choice. Namely, the property is that $G_1$ is isomorphic to $G_2$ whenever $G_1$ is obtained by removing one edge from $G$ and $G_2$ is obtained by removing one edge from $G$.
Oct 17, 2010 at 12:41 history edited Milligram CC BY-SA 2.5
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Oct 17, 2010 at 12:01 answer added Gjergji Zaimi timeline score: 7
Oct 17, 2010 at 11:44 comment added sleepless in beantown or does it mean that $G$ is a connected graph with connectivity strength such that removing any single edge disconnects it into two separate component connected graphs, which are then isomorphic to each other? What's the motivation behind this problem? Is this part of a home-work problem set?
Oct 17, 2010 at 11:41 comment added sleepless in beantown If there are only two graphs that can be created by removing one edge from $G$, then $G$ is a graph with only two edges? Do you mean to say "every graph that can be created by removing one edge from $G$ is isomorphic... to every other such graph"?
Oct 17, 2010 at 11:22 answer added Pete L. Clark timeline score: 3
Oct 17, 2010 at 11:21 answer added Bhalchandra D Thatte timeline score: 2
Oct 17, 2010 at 10:18 answer added Gerry Myerson timeline score: 2
Oct 17, 2010 at 10:12 history asked Milligram CC BY-SA 2.5