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In this paper we continue the study of the valences for (super) edge-magiclabelings of crowns $C_{m}\odot \overline K_{n}$ and we prove that the crownsare perfect (super) edge-magic when $m=pq$ where $p$ and $q$ are different oddprimes. We also provide a lower bound for the number of different valences of$C_{m}\odot \overline K_{n}$, in terms of the prime factors of $m$.

Perfect (super) edge-magic crowns