The representatives to the United Nations from different countries meet for a summit. After a few common sessions, the representatives have to participate in some one-on-one sessions with one another to discuss issues between the two countries. We have to schedule these one-on-one sessions into time slots and we would like as few time slots as possible for more manageable logistics. Model this problem as a graph coloring problem (State what are the vertices, what are the edges, what is being colored, what do the colors stand for).

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