The Kauffman polynomial and trivalent graphs

Abstract

We construct a state model for the two-variable Kauffman polynomial using planar trivalent graphs. We also use this model to obtain a polynomial invariant for a certain type of trivalent graphs embedded in three-dimensional space.

24 pages, many figures; typos corrected, Theorem 3 modified

Cited by in corpus (3)

• On the Kauffman-Vogel and the Murakami-Ohtsuki-Yamada Graph Polynomials
• The Kauffman Polynomial of Periodic Links
• A relationship between two graphical models of the Kauffman polynomial