Reduced Relative Tutte, Kauffman Bracket and Jones Polynomials of   Virtual Link Families
  This paper contains general formulae for the reduced relative Tutte, Kauffman bracket and Jones polynomials of families of virtual knots and links given in Conway notation and discussion of a counterexample to the Z-move conjecture of Fenn, Kauffman and Manturov. 
Louis H. Kauffman, Slavik V. Jablan, Ljiljana Radovic and Radmila   Sazdanovic
math.GT