Question: Graph theory For any cyclic graph with 2k vertices, We then construct a new graph C' 2k in the following manner: for each vertex v,

Graph theory

For any cyclic graph with 2k vertices, We then construct a new graph C' 2k in the following manner: for each vertex v, we

add an edge between v and the vertex that diametrically opposite from v, i.e., to unique

vertex u that is exactly n edges away from v.

Now we have to prove that c'2k is 3-connected (or not 4-connected).

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