Proof of a conjecture of Kulakova et al. related to the sl_2 weight   system
  In this article, we show that a conjecture raised in [KLMR], which regards the coefficient of the highest term when we evaluate the sl_2 weight system on the projection of a diagram to primitive elements, is a consequence of the Melvin-Morton-Rozansky conjecture, proved in [BNG]. 
Dror Bar-Natan, Huan T. Vo
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