English

The Kauffman polynomial and trivalent graphs

Geometric Topology 2016-01-01 v3

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.

Keywords

Cite

@article{arxiv.1107.1210,
  title  = {The Kauffman polynomial and trivalent graphs},
  author = {Carmen Caprau and James Tipton},
  journal= {arXiv preprint arXiv:1107.1210},
  year   = {2016}
}

Comments

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

R2 v1 2026-06-21T18:33:06.321Z