  This paper consists of three parts.
  First, we generalize the Jaeger Formula to express the Kauffman-Vogel graph
polynomial as a state sum of the Murakami-Ohtsuki-Yamada graph polynomial.
  Then, we demonstrate that reversing the orientation and the color of a MOY
graph along a simple circuit does not change the sl(N) Murakami-Ohtsuki-Yamada
polynomial or the sl(N) homology of this MOY graph. In fact, reversing the
orientation and the color of a component of a colored link only changes the
sl(N) homology by an overall grading shift.
  Finally, as an application of the first two parts, we prove that the so(6)
Kauffman polynomial is equal to the 2-colored sl(4) Reshetikhin-Turaev link
polynomial, which implies that the 2-colored sl(4) link homology categorifies
the so(6) Kauffman polynomial.
