English

Extreme coefficients of Jones polynomials and graph theory

Geometric Topology 2007-05-23 v1

Abstract

We find families of prime knot diagrams with arbitrary extreme coefficients in their Jones polynomials. Some graph theory is presented in connection with this problem, generalizing ideas by Yongju Bae and Morton and giving a positive answer to a question in their paper.

Keywords

Cite

@article{arxiv.math/0201160,
  title  = {Extreme coefficients of Jones polynomials and graph theory},
  author = {P. M. G. Manchon},
  journal= {arXiv preprint arXiv:math/0201160},
  year   = {2007}
}

Comments

19 pages and 32 figures

R2 v1 2026-07-22T16:42:46.125Z