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Oct 23, 2013 at 12:33 comment added user40096 The order in $\{a_1,...,a_n,b_1,...,b_n\}$ has nothing to do with the cycle order.
Oct 22, 2013 at 13:04 comment added jon but u should have to know a well-order(@ adjacentcy of the vertices of $C$),then u can find a Hamiltonian cycle. In above ans : without loss of generality I had define the edges of the graph $C$ and then we show that $G-S$ is a Hamiltonian graph.So in general u can also claim that.
Oct 22, 2013 at 12:28 comment added user40096 No,I just want to say the set of vertices of $C$ is $\{a_1,...,a_n,b_1,...b_n\}$.
Oct 22, 2013 at 11:49 comment added jon So u want to say in the cycle $C$ $a_1$ adjacent to $b_2$ and $b_n$?
Oct 22, 2013 at 11:49 comment added user40096 fedja,Thank you for your explaining!
Oct 22, 2013 at 11:43 comment added fedja You do not know the edges except they form a cycle (the enumeration $a_j,b_j$ has nothing to do with the cycle order).
Oct 22, 2013 at 11:19 review First posts
Oct 22, 2013 at 11:22
Oct 22, 2013 at 11:03 history answered jon CC BY-SA 3.0