Give a coloring to support your conclusion.

At a wedding reception, the bride and groom would like their family and friends to get to know each other better. They have decided that if two people know each other, they will not seat them at the same table. The following is a list of guests and who they know. Guests \(A, B, C\), and \(D\) all know each other; guests \(E, F, G\), and \(H\) all know each other; guests \(I, J\), and \(K\) all know each other; guests \(P, Q\) and \(R\) all know each other, guests \(L, M\), and \(O\) all know each other.
Additionally, \(I\) knows \(D\) and \(I\) knows \(G\), \(J\) knows \(M, K\) knows \(P, N\) knows \(L\), and \(N\) knows \(O\).