The Colored Jones Polynomial of Singular Knots
  We generalize the colored Jones polynomial to $4$-valent graphs. This generalization is given as a sequence of invariants in which the first term is a one variable specialization of the Kauffman-Vogel polynomial. We use the invariant we construct to give a sequence of singular braid group representations. 
Khaled Bataineh, Mohamed Elhamdadi, Mustafa Hajij
math.GT