Extreme coefficients of Jones polynomials and graph theory

2002/01/17 by P. M. G. Manchon · 2 citations
Mathematics · #math.GT #msc:57M25

paper · pdf

published as Journal of Knot Theory and its Ramifications, Volume 13, Number 2 (2004) 277-295. · 19 pages and 32 figures

arxiv created 2002/01/17 · arxiv updated 2009/11/30

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.

Cited by

• On the arc index and Turaev genus of a link
• A characterization of adequate Turaev genus one links

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