Applying Lipson's state models to marked graph diagrams of surface-links
  A. S. Lipson constructed two state models yielding the same classical link invariant obtained from the Kauffman polynomial $F(a,z)$. In this paper, we apply Lipson's state models to marked graph diagrams of surface-links, and observe when they induce surface-link invariants. 
Yewon Joung, Seiichi Kamada and Sang Youl Lee
math.GT