For 1 < m < 11, let Gm be the graph with vertex set V = {0,1,2,3,4,5,6,7,8,9,10,11} %| and where vertices u and w are adjacent iff w – u = m modulo 12 or u – w = m modulo 12. We observe that G, = C12, a twelve-cycle. A. For what values of m is Gm connected? B. What are the possible numbers of components of Gm?

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